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Finding the Third Proportional to 20,009.75 and 43,123

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Solution

The third proportional to 20,009.75 and 43,123 is: 92,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.75 : 43,123 = 43,123 : x
  2. Step 2: Convert to fraction form
    20,009.75/43,123 = 43,123/x
  3. Step 3: Cross multiply
    20,009.75x = 43,123 × 43,123
  4. Step 4: Simplify right side
    20,009.75x = 1,859,593,129
  5. Step 5: Solve for x
    x = 1,859,593,129/20,009.75
  6. Step 6: Final answer
    x = 92,934.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.