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Finding the Third Proportional to 10,545.75 and 15,833.25

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Solution

The third proportional to 10,545.75 and 15,833.25 is: 23,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.75 : 15,833.25 = 15,833.25 : x
  2. Step 2: Convert to fraction form
    10,545.75/15,833.25 = 15,833.25/x
  3. Step 3: Cross multiply
    10,545.75x = 15,833.25 × 15,833.25
  4. Step 4: Simplify right side
    10,545.75x = 250,691,805.56
  5. Step 5: Solve for x
    x = 250,691,805.56/10,545.75
  6. Step 6: Final answer
    x = 23,771.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.