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Finding the Third Proportional to 23,048 and 26,452

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Solution

The third proportional to 23,048 and 26,452 is: 30,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048 : 26,452 = 26,452 : x
  2. Step 2: Convert to fraction form
    23,048/26,452 = 26,452/x
  3. Step 3: Cross multiply
    23,048x = 26,452 × 26,452
  4. Step 4: Simplify right side
    23,048x = 699,708,304
  5. Step 5: Solve for x
    x = 699,708,304/23,048
  6. Step 6: Final answer
    x = 30,358.74

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.