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Finding the Third Proportional to 27,182 and 59,348

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Solution

The third proportional to 27,182 and 59,348 is: 129,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182 : 59,348 = 59,348 : x
  2. Step 2: Convert to fraction form
    27,182/59,348 = 59,348/x
  3. Step 3: Cross multiply
    27,182x = 59,348 × 59,348
  4. Step 4: Simplify right side
    27,182x = 3,522,185,104
  5. Step 5: Solve for x
    x = 3,522,185,104/27,182
  6. Step 6: Final answer
    x = 129,577.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.