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Finding the Third Proportional to 22,296.50 and 48,739

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Solution

The third proportional to 22,296.50 and 48,739 is: 106,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.50 : 48,739 = 48,739 : x
  2. Step 2: Convert to fraction form
    22,296.50/48,739 = 48,739/x
  3. Step 3: Cross multiply
    22,296.50x = 48,739 × 48,739
  4. Step 4: Simplify right side
    22,296.50x = 2,375,490,121
  5. Step 5: Solve for x
    x = 2,375,490,121/22,296.50
  6. Step 6: Final answer
    x = 106,540.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.