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Finding the Third Proportional to 15,964.06 and 34,691.44

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Solution

The third proportional to 15,964.06 and 34,691.44 is: 75,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964.06 : 34,691.44 = 34,691.44 : x
  2. Step 2: Convert to fraction form
    15,964.06/34,691.44 = 34,691.44/x
  3. Step 3: Cross multiply
    15,964.06x = 34,691.44 × 34,691.44
  4. Step 4: Simplify right side
    15,964.06x = 1,203,495,835.82
  5. Step 5: Solve for x
    x = 1,203,495,835.82/15,964.06
  6. Step 6: Final answer
    x = 75,387.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.