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Finding the Third Proportional to 12,386 and 26,452

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Solution

The third proportional to 12,386 and 26,452 is: 56,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386 : 26,452 = 26,452 : x
  2. Step 2: Convert to fraction form
    12,386/26,452 = 26,452/x
  3. Step 3: Cross multiply
    12,386x = 26,452 × 26,452
  4. Step 4: Simplify right side
    12,386x = 699,708,304
  5. Step 5: Solve for x
    x = 699,708,304/12,386
  6. Step 6: Final answer
    x = 56,491.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.