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Finding the Third Proportional to 13,865 and 26,452

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Solution

The third proportional to 13,865 and 26,452 is: 50,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865 : 26,452 = 26,452 : x
  2. Step 2: Convert to fraction form
    13,865/26,452 = 26,452/x
  3. Step 3: Cross multiply
    13,865x = 26,452 × 26,452
  4. Step 4: Simplify right side
    13,865x = 699,708,304
  5. Step 5: Solve for x
    x = 699,708,304/13,865
  6. Step 6: Final answer
    x = 50,465.80

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.