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Finding the Third Proportional to 27,860 and 60,088

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Solution

The third proportional to 27,860 and 60,088 is: 129,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,860 : 60,088 = 60,088 : x
  2. Step 2: Convert to fraction form
    27,860/60,088 = 60,088/x
  3. Step 3: Cross multiply
    27,860x = 60,088 × 60,088
  4. Step 4: Simplify right side
    27,860x = 3,610,567,744
  5. Step 5: Solve for x
    x = 3,610,567,744/27,860
  6. Step 6: Final answer
    x = 129,596.83

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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.