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Finding the Third Proportional to 7,668.56 and 16,545.38

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Solution

The third proportional to 7,668.56 and 16,545.38 is: 35,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.56 : 16,545.38 = 16,545.38 : x
  2. Step 2: Convert to fraction form
    7,668.56/16,545.38 = 16,545.38/x
  3. Step 3: Cross multiply
    7,668.56x = 16,545.38 × 16,545.38
  4. Step 4: Simplify right side
    7,668.56x = 273,749,433.89
  5. Step 5: Solve for x
    x = 273,749,433.89/7,668.56
  6. Step 6: Final answer
    x = 35,697.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.