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Finding the Third Proportional to 41,726.81 and 92,809.13

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Solution

The third proportional to 41,726.81 and 92,809.13 is: 206,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,726.81 : 92,809.13 = 92,809.13 : x
  2. Step 2: Convert to fraction form
    41,726.81/92,809.13 = 92,809.13/x
  3. Step 3: Cross multiply
    41,726.81x = 92,809.13 × 92,809.13
  4. Step 4: Simplify right side
    41,726.81x = 8,613,533,683.27
  5. Step 5: Solve for x
    x = 8,613,533,683.27/41,726.81
  6. Step 6: Final answer
    x = 206,426.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.