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Finding the Third Proportional to 22,899.38 and 48,299.63

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Solution

The third proportional to 22,899.38 and 48,299.63 is: 101,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899.38 : 48,299.63 = 48,299.63 : x
  2. Step 2: Convert to fraction form
    22,899.38/48,299.63 = 48,299.63/x
  3. Step 3: Cross multiply
    22,899.38x = 48,299.63 × 48,299.63
  4. Step 4: Simplify right side
    22,899.38x = 2,332,853,775.14
  5. Step 5: Solve for x
    x = 2,332,853,775.14/22,899.38
  6. Step 6: Final answer
    x = 101,874.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.