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Finding the Third Proportional to 27,366 and 59,098

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Solution

The third proportional to 27,366 and 59,098 is: 127,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,366 : 59,098 = 59,098 : x
  2. Step 2: Convert to fraction form
    27,366/59,098 = 59,098/x
  3. Step 3: Cross multiply
    27,366x = 59,098 × 59,098
  4. Step 4: Simplify right side
    27,366x = 3,492,573,604
  5. Step 5: Solve for x
    x = 3,492,573,604/27,366
  6. Step 6: Final answer
    x = 127,624.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.