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Finding the Third Proportional to 24,376 and 57,484

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Solution

The third proportional to 24,376 and 57,484 is: 135,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376 : 57,484 = 57,484 : x
  2. Step 2: Convert to fraction form
    24,376/57,484 = 57,484/x
  3. Step 3: Cross multiply
    24,376x = 57,484 × 57,484
  4. Step 4: Simplify right side
    24,376x = 3,304,410,256
  5. Step 5: Solve for x
    x = 3,304,410,256/24,376
  6. Step 6: Final answer
    x = 135,559.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.