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Finding the Third Proportional to 38,569 and 58,265

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Solution

The third proportional to 38,569 and 58,265 is: 88,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569 : 58,265 = 58,265 : x
  2. Step 2: Convert to fraction form
    38,569/58,265 = 58,265/x
  3. Step 3: Cross multiply
    38,569x = 58,265 × 58,265
  4. Step 4: Simplify right side
    38,569x = 3,394,810,225
  5. Step 5: Solve for x
    x = 3,394,810,225/38,569
  6. Step 6: Final answer
    x = 88,019.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.