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Finding the Third Proportional to 38,545.88 and 58,563

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Solution

The third proportional to 38,545.88 and 58,563 is: 88,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,545.88 : 58,563 = 58,563 : x
  2. Step 2: Convert to fraction form
    38,545.88/58,563 = 58,563/x
  3. Step 3: Cross multiply
    38,545.88x = 58,563 × 58,563
  4. Step 4: Simplify right side
    38,545.88x = 3,429,624,969
  5. Step 5: Solve for x
    x = 3,429,624,969/38,545.88
  6. Step 6: Final answer
    x = 88,975.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.