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Finding the Third Proportional to 10,352.18 and 22,359.80

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Solution

The third proportional to 10,352.18 and 22,359.80 is: 48,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.18 : 22,359.80 = 22,359.80 : x
  2. Step 2: Convert to fraction form
    10,352.18/22,359.80 = 22,359.80/x
  3. Step 3: Cross multiply
    10,352.18x = 22,359.80 × 22,359.80
  4. Step 4: Simplify right side
    10,352.18x = 499,960,516.29
  5. Step 5: Solve for x
    x = 499,960,516.29/10,352.18
  6. Step 6: Final answer
    x = 48,295.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.