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Finding the Third Proportional to 20,178 and 43,650

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Solution

The third proportional to 20,178 and 43,650 is: 94,425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 43,650 = 43,650 : x
  2. Step 2: Convert to fraction form
    20,178/43,650 = 43,650/x
  3. Step 3: Cross multiply
    20,178x = 43,650 × 43,650
  4. Step 4: Simplify right side
    20,178x = 1,905,322,500
  5. Step 5: Solve for x
    x = 1,905,322,500/20,178
  6. Step 6: Final answer
    x = 94,425.74

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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.