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Finding the Third Proportional to 8,071.88 and 10,902.38

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Solution

The third proportional to 8,071.88 and 10,902.38 is: 14,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.88 : 10,902.38 = 10,902.38 : x
  2. Step 2: Convert to fraction form
    8,071.88/10,902.38 = 10,902.38/x
  3. Step 3: Cross multiply
    8,071.88x = 10,902.38 × 10,902.38
  4. Step 4: Simplify right side
    8,071.88x = 118,861,780.64
  5. Step 5: Solve for x
    x = 118,861,780.64/8,071.88
  6. Step 6: Final answer
    x = 14,725.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.