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Finding the Third Proportional to 10,497.38 and 22,179.38

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Solution

The third proportional to 10,497.38 and 22,179.38 is: 46,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.38 : 22,179.38 = 22,179.38 : x
  2. Step 2: Convert to fraction form
    10,497.38/22,179.38 = 22,179.38/x
  3. Step 3: Cross multiply
    10,497.38x = 22,179.38 × 22,179.38
  4. Step 4: Simplify right side
    10,497.38x = 491,924,675.39
  5. Step 5: Solve for x
    x = 491,924,675.39/10,497.38
  6. Step 6: Final answer
    x = 46,861.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.