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Finding the Third Proportional to 7,545.76 and 16,387.91

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Solution

The third proportional to 7,545.76 and 16,387.91 is: 35,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.76 : 16,387.91 = 16,387.91 : x
  2. Step 2: Convert to fraction form
    7,545.76/16,387.91 = 16,387.91/x
  3. Step 3: Cross multiply
    7,545.76x = 16,387.91 × 16,387.91
  4. Step 4: Simplify right side
    7,545.76x = 268,563,455.25
  5. Step 5: Solve for x
    x = 268,563,455.25/7,545.76
  6. Step 6: Final answer
    x = 35,591.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.