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Finding the Third Proportional to 24,964 and 54,920

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Solution

The third proportional to 24,964 and 54,920 is: 120,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,964 : 54,920 = 54,920 : x
  2. Step 2: Convert to fraction form
    24,964/54,920 = 54,920/x
  3. Step 3: Cross multiply
    24,964x = 54,920 × 54,920
  4. Step 4: Simplify right side
    24,964x = 3,016,206,400
  5. Step 5: Solve for x
    x = 3,016,206,400/24,964
  6. Step 6: Final answer
    x = 120,822.24

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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.