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Finding the Third Proportional to 22,177.13 and 48,046.50

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Solution

The third proportional to 22,177.13 and 48,046.50 is: 104,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.13 : 48,046.50 = 48,046.50 : x
  2. Step 2: Convert to fraction form
    22,177.13/48,046.50 = 48,046.50/x
  3. Step 3: Cross multiply
    22,177.13x = 48,046.50 × 48,046.50
  4. Step 4: Simplify right side
    22,177.13x = 2,308,466,162.25
  5. Step 5: Solve for x
    x = 2,308,466,162.25/22,177.13
  6. Step 6: Final answer
    x = 104,092.22

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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.