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Finding the Third Proportional to 11,332.69 and 19,672.31

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Solution

The third proportional to 11,332.69 and 19,672.31 is: 34,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.69 : 19,672.31 = 19,672.31 : x
  2. Step 2: Convert to fraction form
    11,332.69/19,672.31 = 19,672.31/x
  3. Step 3: Cross multiply
    11,332.69x = 19,672.31 × 19,672.31
  4. Step 4: Simplify right side
    11,332.69x = 386,999,879.10
  5. Step 5: Solve for x
    x = 386,999,879.10/11,332.69
  6. Step 6: Final answer
    x = 34,148.99

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.