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Finding the Third Proportional to 10,247.25 and 15,006.38

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Solution

The third proportional to 10,247.25 and 15,006.38 is: 21,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247.25 : 15,006.38 = 15,006.38 : x
  2. Step 2: Convert to fraction form
    10,247.25/15,006.38 = 15,006.38/x
  3. Step 3: Cross multiply
    10,247.25x = 15,006.38 × 15,006.38
  4. Step 4: Simplify right side
    10,247.25x = 225,191,290.64
  5. Step 5: Solve for x
    x = 225,191,290.64/10,247.25
  6. Step 6: Final answer
    x = 21,975.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.