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Finding the Third Proportional to 10,208.11 and 15,371.65

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Solution

The third proportional to 10,208.11 and 15,371.65 is: 23,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.11 : 15,371.65 = 15,371.65 : x
  2. Step 2: Convert to fraction form
    10,208.11/15,371.65 = 15,371.65/x
  3. Step 3: Cross multiply
    10,208.11x = 15,371.65 × 15,371.65
  4. Step 4: Simplify right side
    10,208.11x = 236,287,575.69
  5. Step 5: Solve for x
    x = 236,287,575.69/10,208.11
  6. Step 6: Final answer
    x = 23,147.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.