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Finding the Third Proportional to 38,569.50 and 58,265.44

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Solution

The third proportional to 38,569.50 and 58,265.44 is: 88,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.50 : 58,265.44 = 58,265.44 : x
  2. Step 2: Convert to fraction form
    38,569.50/58,265.44 = 58,265.44/x
  3. Step 3: Cross multiply
    38,569.50x = 58,265.44 × 58,265.44
  4. Step 4: Simplify right side
    38,569.50x = 3,394,861,207.07
  5. Step 5: Solve for x
    x = 3,394,861,207.07/38,569.50
  6. Step 6: Final answer
    x = 88,019.32

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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.