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Finding the Third Proportional to 27,712 and 67,088

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Solution

The third proportional to 27,712 and 67,088 is: 162,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712 : 67,088 = 67,088 : x
  2. Step 2: Convert to fraction form
    27,712/67,088 = 67,088/x
  3. Step 3: Cross multiply
    27,712x = 67,088 × 67,088
  4. Step 4: Simplify right side
    27,712x = 4,500,799,744
  5. Step 5: Solve for x
    x = 4,500,799,744/27,712
  6. Step 6: Final answer
    x = 162,413.39

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.