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Finding the Third Proportional to 39,416 and 61,044

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Solution

The third proportional to 39,416 and 61,044 is: 94,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,416 : 61,044 = 61,044 : x
  2. Step 2: Convert to fraction form
    39,416/61,044 = 61,044/x
  3. Step 3: Cross multiply
    39,416x = 61,044 × 61,044
  4. Step 4: Simplify right side
    39,416x = 3,726,369,936
  5. Step 5: Solve for x
    x = 3,726,369,936/39,416
  6. Step 6: Final answer
    x = 94,539.53

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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.