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Finding the Third Proportional to 27,987.75 and 60,106.50

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Solution

The third proportional to 27,987.75 and 60,106.50 is: 129,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.75 : 60,106.50 = 60,106.50 : x
  2. Step 2: Convert to fraction form
    27,987.75/60,106.50 = 60,106.50/x
  3. Step 3: Cross multiply
    27,987.75x = 60,106.50 × 60,106.50
  4. Step 4: Simplify right side
    27,987.75x = 3,612,791,342.25
  5. Step 5: Solve for x
    x = 3,612,791,342.25/27,987.75
  6. Step 6: Final answer
    x = 129,084.74

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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.