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Finding the Third Proportional to 41,545.09 and 64,451.64

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Solution

The third proportional to 41,545.09 and 64,451.64 is: 99,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,545.09 : 64,451.64 = 64,451.64 : x
  2. Step 2: Convert to fraction form
    41,545.09/64,451.64 = 64,451.64/x
  3. Step 3: Cross multiply
    41,545.09x = 64,451.64 × 64,451.64
  4. Step 4: Simplify right side
    41,545.09x = 4,154,013,475.73
  5. Step 5: Solve for x
    x = 4,154,013,475.73/41,545.09
  6. Step 6: Final answer
    x = 99,988.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.