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Finding the Third Proportional to 41,827.09 and 62,833.54

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Solution

The third proportional to 41,827.09 and 62,833.54 is: 94,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,827.09 : 62,833.54 = 62,833.54 : x
  2. Step 2: Convert to fraction form
    41,827.09/62,833.54 = 62,833.54/x
  3. Step 3: Cross multiply
    41,827.09x = 62,833.54 × 62,833.54
  4. Step 4: Simplify right side
    41,827.09x = 3,948,053,140.23
  5. Step 5: Solve for x
    x = 3,948,053,140.23/41,827.09
  6. Step 6: Final answer
    x = 94,389.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.