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Finding the Third Proportional to 27,459 and 59,598

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Solution

The third proportional to 27,459 and 59,598 is: 129,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459 : 59,598 = 59,598 : x
  2. Step 2: Convert to fraction form
    27,459/59,598 = 59,598/x
  3. Step 3: Cross multiply
    27,459x = 59,598 × 59,598
  4. Step 4: Simplify right side
    27,459x = 3,551,921,604
  5. Step 5: Solve for x
    x = 3,551,921,604/27,459
  6. Step 6: Final answer
    x = 129,353.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.