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Finding the Third Proportional to 27,849 and 60,045

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Solution

The third proportional to 27,849 and 60,045 is: 129,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849 : 60,045 = 60,045 : x
  2. Step 2: Convert to fraction form
    27,849/60,045 = 60,045/x
  3. Step 3: Cross multiply
    27,849x = 60,045 × 60,045
  4. Step 4: Simplify right side
    27,849x = 3,605,402,025
  5. Step 5: Solve for x
    x = 3,605,402,025/27,849
  6. Step 6: Final answer
    x = 129,462.53

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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.