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Finding the Third Proportional to 10,046.25 and 15,919.88

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Solution

The third proportional to 10,046.25 and 15,919.88 is: 25,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.25 : 15,919.88 = 15,919.88 : x
  2. Step 2: Convert to fraction form
    10,046.25/15,919.88 = 15,919.88/x
  3. Step 3: Cross multiply
    10,046.25x = 15,919.88 × 15,919.88
  4. Step 4: Simplify right side
    10,046.25x = 253,442,420.02
  5. Step 5: Solve for x
    x = 253,442,420.02/10,046.25
  6. Step 6: Final answer
    x = 25,227.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.