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Finding the Third Proportional to 10,137.66 and 22,040.86

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Solution

The third proportional to 10,137.66 and 22,040.86 is: 47,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.66 : 22,040.86 = 22,040.86 : x
  2. Step 2: Convert to fraction form
    10,137.66/22,040.86 = 22,040.86/x
  3. Step 3: Cross multiply
    10,137.66x = 22,040.86 × 22,040.86
  4. Step 4: Simplify right side
    10,137.66x = 485,799,481.99
  5. Step 5: Solve for x
    x = 485,799,481.99/10,137.66
  6. Step 6: Final answer
    x = 47,920.30

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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.