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Finding the Third Proportional to 27,978.50 and 60,098.25

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Solution

The third proportional to 27,978.50 and 60,098.25 is: 129,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.50 : 60,098.25 = 60,098.25 : x
  2. Step 2: Convert to fraction form
    27,978.50/60,098.25 = 60,098.25/x
  3. Step 3: Cross multiply
    27,978.50x = 60,098.25 × 60,098.25
  4. Step 4: Simplify right side
    27,978.50x = 3,611,799,653.06
  5. Step 5: Solve for x
    x = 3,611,799,653.06/27,978.50
  6. Step 6: Final answer
    x = 129,091.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.