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Finding the Third Proportional to 39,431 and 59,966

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Solution

The third proportional to 39,431 and 59,966 is: 91,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,431 : 59,966 = 59,966 : x
  2. Step 2: Convert to fraction form
    39,431/59,966 = 59,966/x
  3. Step 3: Cross multiply
    39,431x = 59,966 × 59,966
  4. Step 4: Simplify right side
    39,431x = 3,595,921,156
  5. Step 5: Solve for x
    x = 3,595,921,156/39,431
  6. Step 6: Final answer
    x = 91,195.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.