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Finding the Third Proportional to 7,959.38 and 12,121.31

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Solution

The third proportional to 7,959.38 and 12,121.31 is: 18,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.38 : 12,121.31 = 12,121.31 : x
  2. Step 2: Convert to fraction form
    7,959.38/12,121.31 = 12,121.31/x
  3. Step 3: Cross multiply
    7,959.38x = 12,121.31 × 12,121.31
  4. Step 4: Simplify right side
    7,959.38x = 146,926,216.72
  5. Step 5: Solve for x
    x = 146,926,216.72/7,959.38
  6. Step 6: Final answer
    x = 18,459.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.