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Finding the Third Proportional to 24,758 and 54,032

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Solution

The third proportional to 24,758 and 54,032 is: 117,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758 : 54,032 = 54,032 : x
  2. Step 2: Convert to fraction form
    24,758/54,032 = 54,032/x
  3. Step 3: Cross multiply
    24,758x = 54,032 × 54,032
  4. Step 4: Simplify right side
    24,758x = 2,919,457,024
  5. Step 5: Solve for x
    x = 2,919,457,024/24,758
  6. Step 6: Final answer
    x = 117,919.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.