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Finding the Third Proportional to 40,306 and 63,551

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Solution

The third proportional to 40,306 and 63,551 is: 100,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,306 : 63,551 = 63,551 : x
  2. Step 2: Convert to fraction form
    40,306/63,551 = 63,551/x
  3. Step 3: Cross multiply
    40,306x = 63,551 × 63,551
  4. Step 4: Simplify right side
    40,306x = 4,038,729,601
  5. Step 5: Solve for x
    x = 4,038,729,601/40,306
  6. Step 6: Final answer
    x = 100,201.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.