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Finding the Third Proportional to 22,452.19 and 49,278.38

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Solution

The third proportional to 22,452.19 and 49,278.38 is: 108,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.19 : 49,278.38 = 49,278.38 : x
  2. Step 2: Convert to fraction form
    22,452.19/49,278.38 = 49,278.38/x
  3. Step 3: Cross multiply
    22,452.19x = 49,278.38 × 49,278.38
  4. Step 4: Simplify right side
    22,452.19x = 2,428,358,242.64
  5. Step 5: Solve for x
    x = 2,428,358,242.64/22,452.19
  6. Step 6: Final answer
    x = 108,156.87

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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.