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Finding the Third Proportional to 23,008 and 55,408

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Solution

The third proportional to 23,008 and 55,408 is: 133,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008 : 55,408 = 55,408 : x
  2. Step 2: Convert to fraction form
    23,008/55,408 = 55,408/x
  3. Step 3: Cross multiply
    23,008x = 55,408 × 55,408
  4. Step 4: Simplify right side
    23,008x = 3,070,046,464
  5. Step 5: Solve for x
    x = 3,070,046,464/23,008
  6. Step 6: Final answer
    x = 133,433.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.