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Finding the Third Proportional to 27,717.38 and 41,533.13

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Solution

The third proportional to 27,717.38 and 41,533.13 is: 62,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717.38 : 41,533.13 = 41,533.13 : x
  2. Step 2: Convert to fraction form
    27,717.38/41,533.13 = 41,533.13/x
  3. Step 3: Cross multiply
    27,717.38x = 41,533.13 × 41,533.13
  4. Step 4: Simplify right side
    27,717.38x = 1,725,000,472.27
  5. Step 5: Solve for x
    x = 1,725,000,472.27/27,717.38
  6. Step 6: Final answer
    x = 62,235.35

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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.