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Finding the Third Proportional to 24,793 and 54,484

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Solution

The third proportional to 24,793 and 54,484 is: 119,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793 : 54,484 = 54,484 : x
  2. Step 2: Convert to fraction form
    24,793/54,484 = 54,484/x
  3. Step 3: Cross multiply
    24,793x = 54,484 × 54,484
  4. Step 4: Simplify right side
    24,793x = 2,968,506,256
  5. Step 5: Solve for x
    x = 2,968,506,256/24,793
  6. Step 6: Final answer
    x = 119,731.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.