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Finding the Third Proportional to 24,937 and 54,337

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Solution

The third proportional to 24,937 and 54,337 is: 118,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,937 : 54,337 = 54,337 : x
  2. Step 2: Convert to fraction form
    24,937/54,337 = 54,337/x
  3. Step 3: Cross multiply
    24,937x = 54,337 × 54,337
  4. Step 4: Simplify right side
    24,937x = 2,952,509,569
  5. Step 5: Solve for x
    x = 2,952,509,569/24,937
  6. Step 6: Final answer
    x = 118,398.75

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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.