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Finding the Third Proportional to 24,937 and 54,643

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Solution

The third proportional to 24,937 and 54,643 is: 119,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,937 : 54,643 = 54,643 : x
  2. Step 2: Convert to fraction form
    24,937/54,643 = 54,643/x
  3. Step 3: Cross multiply
    24,937x = 54,643 × 54,643
  4. Step 4: Simplify right side
    24,937x = 2,985,857,449
  5. Step 5: Solve for x
    x = 2,985,857,449/24,937
  6. Step 6: Final answer
    x = 119,736.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.