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Finding the Third Proportional to 39,710 and 61,431

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Solution

The third proportional to 39,710 and 61,431 is: 95,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,710 : 61,431 = 61,431 : x
  2. Step 2: Convert to fraction form
    39,710/61,431 = 61,431/x
  3. Step 3: Cross multiply
    39,710x = 61,431 × 61,431
  4. Step 4: Simplify right side
    39,710x = 3,773,767,761
  5. Step 5: Solve for x
    x = 3,773,767,761/39,710
  6. Step 6: Final answer
    x = 95,033.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.