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Finding the Third Proportional to 20,214.56 and 43,223.63

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Solution

The third proportional to 20,214.56 and 43,223.63 is: 92,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.56 : 43,223.63 = 43,223.63 : x
  2. Step 2: Convert to fraction form
    20,214.56/43,223.63 = 43,223.63/x
  3. Step 3: Cross multiply
    20,214.56x = 43,223.63 × 43,223.63
  4. Step 4: Simplify right side
    20,214.56x = 1,868,281,758.14
  5. Step 5: Solve for x
    x = 1,868,281,758.14/20,214.56
  6. Step 6: Final answer
    x = 92,422.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.