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Finding the Third Proportional to 9,511.17 and 22,359.80

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Solution

The third proportional to 9,511.17 and 22,359.80 is: 52,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.17 : 22,359.80 = 22,359.80 : x
  2. Step 2: Convert to fraction form
    9,511.17/22,359.80 = 22,359.80/x
  3. Step 3: Cross multiply
    9,511.17x = 22,359.80 × 22,359.80
  4. Step 4: Simplify right side
    9,511.17x = 499,960,516.29
  5. Step 5: Solve for x
    x = 499,960,516.29/9,511.17
  6. Step 6: Final answer
    x = 52,565.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.