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Finding the Third Proportional to 24,742 and 54,668

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Solution

The third proportional to 24,742 and 54,668 is: 120,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742 : 54,668 = 54,668 : x
  2. Step 2: Convert to fraction form
    24,742/54,668 = 54,668/x
  3. Step 3: Cross multiply
    24,742x = 54,668 × 54,668
  4. Step 4: Simplify right side
    24,742x = 2,988,590,224
  5. Step 5: Solve for x
    x = 2,988,590,224/24,742
  6. Step 6: Final answer
    x = 120,790.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.