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Finding the Third Proportional to 10,382.55 and 22,124.39

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Solution

The third proportional to 10,382.55 and 22,124.39 is: 47,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.55 : 22,124.39 = 22,124.39 : x
  2. Step 2: Convert to fraction form
    10,382.55/22,124.39 = 22,124.39/x
  3. Step 3: Cross multiply
    10,382.55x = 22,124.39 × 22,124.39
  4. Step 4: Simplify right side
    10,382.55x = 489,488,660.53
  5. Step 5: Solve for x
    x = 489,488,660.53/10,382.55
  6. Step 6: Final answer
    x = 47,145.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.