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Finding the Third Proportional to 24,772 and 54,888

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Solution

The third proportional to 24,772 and 54,888 is: 121,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772 : 54,888 = 54,888 : x
  2. Step 2: Convert to fraction form
    24,772/54,888 = 54,888/x
  3. Step 3: Cross multiply
    24,772x = 54,888 × 54,888
  4. Step 4: Simplify right side
    24,772x = 3,012,692,544
  5. Step 5: Solve for x
    x = 3,012,692,544/24,772
  6. Step 6: Final answer
    x = 121,616.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.