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Finding the Third Proportional to 24,927 and 54,714

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Solution

The third proportional to 24,927 and 54,714 is: 120,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927 : 54,714 = 54,714 : x
  2. Step 2: Convert to fraction form
    24,927/54,714 = 54,714/x
  3. Step 3: Cross multiply
    24,927x = 54,714 × 54,714
  4. Step 4: Simplify right side
    24,927x = 2,993,621,796
  5. Step 5: Solve for x
    x = 2,993,621,796/24,927
  6. Step 6: Final answer
    x = 120,095.55

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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.