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Finding the Third Proportional to 27,065 and 62,656

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Solution

The third proportional to 27,065 and 62,656 is: 145,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065 : 62,656 = 62,656 : x
  2. Step 2: Convert to fraction form
    27,065/62,656 = 62,656/x
  3. Step 3: Cross multiply
    27,065x = 62,656 × 62,656
  4. Step 4: Simplify right side
    27,065x = 3,925,774,336
  5. Step 5: Solve for x
    x = 3,925,774,336/27,065
  6. Step 6: Final answer
    x = 145,049.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.