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Finding the Third Proportional to 10,337.63 and 22,393.97

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Solution

The third proportional to 10,337.63 and 22,393.97 is: 48,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.63 : 22,393.97 = 22,393.97 : x
  2. Step 2: Convert to fraction form
    10,337.63/22,393.97 = 22,393.97/x
  3. Step 3: Cross multiply
    10,337.63x = 22,393.97 × 22,393.97
  4. Step 4: Simplify right side
    10,337.63x = 501,489,836.38
  5. Step 5: Solve for x
    x = 501,489,836.38/10,337.63
  6. Step 6: Final answer
    x = 48,511.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.