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Finding the Third Proportional to 24,996 and 54,376

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Solution

The third proportional to 24,996 and 54,376 is: 118,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,996 : 54,376 = 54,376 : x
  2. Step 2: Convert to fraction form
    24,996/54,376 = 54,376/x
  3. Step 3: Cross multiply
    24,996x = 54,376 × 54,376
  4. Step 4: Simplify right side
    24,996x = 2,956,749,376
  5. Step 5: Solve for x
    x = 2,956,749,376/24,996
  6. Step 6: Final answer
    x = 118,288.90

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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.