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Finding the Third Proportional to 24,268 and 52,928

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Solution

The third proportional to 24,268 and 52,928 is: 115,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,268 : 52,928 = 52,928 : x
  2. Step 2: Convert to fraction form
    24,268/52,928 = 52,928/x
  3. Step 3: Cross multiply
    24,268x = 52,928 × 52,928
  4. Step 4: Simplify right side
    24,268x = 2,801,373,184
  5. Step 5: Solve for x
    x = 2,801,373,184/24,268
  6. Step 6: Final answer
    x = 115,434.86

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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.