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Finding the Third Proportional to 24,919 and 54,509

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Solution

The third proportional to 24,919 and 54,509 is: 119,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919 : 54,509 = 54,509 : x
  2. Step 2: Convert to fraction form
    24,919/54,509 = 54,509/x
  3. Step 3: Cross multiply
    24,919x = 54,509 × 54,509
  4. Step 4: Simplify right side
    24,919x = 2,971,231,081
  5. Step 5: Solve for x
    x = 2,971,231,081/24,919
  6. Step 6: Final answer
    x = 119,235.57

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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.