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Finding the Third Proportional to 38,781.75 and 59,929.75

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Solution

The third proportional to 38,781.75 and 59,929.75 is: 92,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.75 : 59,929.75 = 59,929.75 : x
  2. Step 2: Convert to fraction form
    38,781.75/59,929.75 = 59,929.75/x
  3. Step 3: Cross multiply
    38,781.75x = 59,929.75 × 59,929.75
  4. Step 4: Simplify right side
    38,781.75x = 3,591,574,935.06
  5. Step 5: Solve for x
    x = 3,591,574,935.06/38,781.75
  6. Step 6: Final answer
    x = 92,609.92

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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.