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Finding the Third Proportional to 11,154.38 and 16,423.31

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Solution

The third proportional to 11,154.38 and 16,423.31 is: 24,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.38 : 16,423.31 = 16,423.31 : x
  2. Step 2: Convert to fraction form
    11,154.38/16,423.31 = 16,423.31/x
  3. Step 3: Cross multiply
    11,154.38x = 16,423.31 × 16,423.31
  4. Step 4: Simplify right side
    11,154.38x = 269,725,193.47
  5. Step 5: Solve for x
    x = 269,725,193.47/11,154.38
  6. Step 6: Final answer
    x = 24,181.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.