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Finding the Third Proportional to 27,719 and 41,535

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Solution

The third proportional to 27,719 and 41,535 is: 62,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719 : 41,535 = 41,535 : x
  2. Step 2: Convert to fraction form
    27,719/41,535 = 41,535/x
  3. Step 3: Cross multiply
    27,719x = 41,535 × 41,535
  4. Step 4: Simplify right side
    27,719x = 1,725,156,225
  5. Step 5: Solve for x
    x = 1,725,156,225/27,719
  6. Step 6: Final answer
    x = 62,237.32

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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.