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Finding the Third Proportional to 27,214 and 41,602

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Solution

The third proportional to 27,214 and 41,602 is: 63,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214 : 41,602 = 41,602 : x
  2. Step 2: Convert to fraction form
    27,214/41,602 = 41,602/x
  3. Step 3: Cross multiply
    27,214x = 41,602 × 41,602
  4. Step 4: Simplify right side
    27,214x = 1,730,726,404
  5. Step 5: Solve for x
    x = 1,730,726,404/27,214
  6. Step 6: Final answer
    x = 63,596.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.