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Finding the Third Proportional to 15,649.88 and 34,265.25

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Solution

The third proportional to 15,649.88 and 34,265.25 is: 75,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.88 : 34,265.25 = 34,265.25 : x
  2. Step 2: Convert to fraction form
    15,649.88/34,265.25 = 34,265.25/x
  3. Step 3: Cross multiply
    15,649.88x = 34,265.25 × 34,265.25
  4. Step 4: Simplify right side
    15,649.88x = 1,174,107,357.56
  5. Step 5: Solve for x
    x = 1,174,107,357.56/15,649.88
  6. Step 6: Final answer
    x = 75,023.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.