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Finding the Third Proportional to 27,657 and 41,685

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Solution

The third proportional to 27,657 and 41,685 is: 62,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657 : 41,685 = 41,685 : x
  2. Step 2: Convert to fraction form
    27,657/41,685 = 41,685/x
  3. Step 3: Cross multiply
    27,657x = 41,685 × 41,685
  4. Step 4: Simplify right side
    27,657x = 1,737,639,225
  5. Step 5: Solve for x
    x = 1,737,639,225/27,657
  6. Step 6: Final answer
    x = 62,828.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.