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Finding the Third Proportional to 9,451.69 and 15,334.31

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Solution

The third proportional to 9,451.69 and 15,334.31 is: 24,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.69 : 15,334.31 = 15,334.31 : x
  2. Step 2: Convert to fraction form
    9,451.69/15,334.31 = 15,334.31/x
  3. Step 3: Cross multiply
    9,451.69x = 15,334.31 × 15,334.31
  4. Step 4: Simplify right side
    9,451.69x = 235,141,139.85
  5. Step 5: Solve for x
    x = 235,141,139.85/9,451.69
  6. Step 6: Final answer
    x = 24,878.22

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.