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Finding the Third Proportional to 27,820.13 and 41,721.75

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Solution

The third proportional to 27,820.13 and 41,721.75 is: 62,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.13 : 41,721.75 = 41,721.75 : x
  2. Step 2: Convert to fraction form
    27,820.13/41,721.75 = 41,721.75/x
  3. Step 3: Cross multiply
    27,820.13x = 41,721.75 × 41,721.75
  4. Step 4: Simplify right side
    27,820.13x = 1,740,704,423.06
  5. Step 5: Solve for x
    x = 1,740,704,423.06/27,820.13
  6. Step 6: Final answer
    x = 62,569.97

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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.