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Finding the Third Proportional to 40,827.38 and 86,545.13

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Solution

The third proportional to 40,827.38 and 86,545.13 is: 183,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,827.38 : 86,545.13 = 86,545.13 : x
  2. Step 2: Convert to fraction form
    40,827.38/86,545.13 = 86,545.13/x
  3. Step 3: Cross multiply
    40,827.38x = 86,545.13 × 86,545.13
  4. Step 4: Simplify right side
    40,827.38x = 7,490,058,661.27
  5. Step 5: Solve for x
    x = 7,490,058,661.27/40,827.38
  6. Step 6: Final answer
    x = 183,456.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.