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Finding the Third Proportional to 24,940 and 54,820

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Solution

The third proportional to 24,940 and 54,820 is: 120,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,940 : 54,820 = 54,820 : x
  2. Step 2: Convert to fraction form
    24,940/54,820 = 54,820/x
  3. Step 3: Cross multiply
    24,940x = 54,820 × 54,820
  4. Step 4: Simplify right side
    24,940x = 3,005,232,400
  5. Step 5: Solve for x
    x = 3,005,232,400/24,940
  6. Step 6: Final answer
    x = 120,498.49

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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.