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Finding the Third Proportional to 22,171.22 and 31,182.47

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Solution

The third proportional to 22,171.22 and 31,182.47 is: 43,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.22 : 31,182.47 = 31,182.47 : x
  2. Step 2: Convert to fraction form
    22,171.22/31,182.47 = 31,182.47/x
  3. Step 3: Cross multiply
    22,171.22x = 31,182.47 × 31,182.47
  4. Step 4: Simplify right side
    22,171.22x = 972,346,357.34
  5. Step 5: Solve for x
    x = 972,346,357.34/22,171.22
  6. Step 6: Final answer
    x = 43,856.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.