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Finding the Third Proportional to 10,641.38 and 15,906.38

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Solution

The third proportional to 10,641.38 and 15,906.38 is: 23,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.38 : 15,906.38 = 15,906.38 : x
  2. Step 2: Convert to fraction form
    10,641.38/15,906.38 = 15,906.38/x
  3. Step 3: Cross multiply
    10,641.38x = 15,906.38 × 15,906.38
  4. Step 4: Simplify right side
    10,641.38x = 253,012,765.64
  5. Step 5: Solve for x
    x = 253,012,765.64/10,641.38
  6. Step 6: Final answer
    x = 23,776.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.