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Finding the Third Proportional to 38,402 and 61,059

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Solution

The third proportional to 38,402 and 61,059 is: 97,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402 : 61,059 = 61,059 : x
  2. Step 2: Convert to fraction form
    38,402/61,059 = 61,059/x
  3. Step 3: Cross multiply
    38,402x = 61,059 × 61,059
  4. Step 4: Simplify right side
    38,402x = 3,728,201,481
  5. Step 5: Solve for x
    x = 3,728,201,481/38,402
  6. Step 6: Final answer
    x = 97,083.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.