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Finding the Third Proportional to 23,278.50 and 50,248.13

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Solution

The third proportional to 23,278.50 and 50,248.13 is: 108,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,278.50 : 50,248.13 = 50,248.13 : x
  2. Step 2: Convert to fraction form
    23,278.50/50,248.13 = 50,248.13/x
  3. Step 3: Cross multiply
    23,278.50x = 50,248.13 × 50,248.13
  4. Step 4: Simplify right side
    23,278.50x = 2,524,874,066.02
  5. Step 5: Solve for x
    x = 2,524,874,066.02/23,278.50
  6. Step 6: Final answer
    x = 108,463.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.