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Finding the Third Proportional to 24,719 and 53,327

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Solution

The third proportional to 24,719 and 53,327 is: 115,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719 : 53,327 = 53,327 : x
  2. Step 2: Convert to fraction form
    24,719/53,327 = 53,327/x
  3. Step 3: Cross multiply
    24,719x = 53,327 × 53,327
  4. Step 4: Simplify right side
    24,719x = 2,843,768,929
  5. Step 5: Solve for x
    x = 2,843,768,929/24,719
  6. Step 6: Final answer
    x = 115,043.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.