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Finding the Third Proportional to 10,170.56 and 14,789.25

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Solution

The third proportional to 10,170.56 and 14,789.25 is: 21,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.56 : 14,789.25 = 14,789.25 : x
  2. Step 2: Convert to fraction form
    10,170.56/14,789.25 = 14,789.25/x
  3. Step 3: Cross multiply
    10,170.56x = 14,789.25 × 14,789.25
  4. Step 4: Simplify right side
    10,170.56x = 218,721,915.56
  5. Step 5: Solve for x
    x = 218,721,915.56/10,170.56
  6. Step 6: Final answer
    x = 21,505.39

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.