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Finding the Third Proportional to 24,972 and 54,840

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Solution

The third proportional to 24,972 and 54,840 is: 120,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,972 : 54,840 = 54,840 : x
  2. Step 2: Convert to fraction form
    24,972/54,840 = 54,840/x
  3. Step 3: Cross multiply
    24,972x = 54,840 × 54,840
  4. Step 4: Simplify right side
    24,972x = 3,007,425,600
  5. Step 5: Solve for x
    x = 3,007,425,600/24,972
  6. Step 6: Final answer
    x = 120,431.91

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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.