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Finding the Third Proportional to 12,786 and 26,442

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Solution

The third proportional to 12,786 and 26,442 is: 54,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786 : 26,442 = 26,442 : x
  2. Step 2: Convert to fraction form
    12,786/26,442 = 26,442/x
  3. Step 3: Cross multiply
    12,786x = 26,442 × 26,442
  4. Step 4: Simplify right side
    12,786x = 699,179,364
  5. Step 5: Solve for x
    x = 699,179,364/12,786
  6. Step 6: Final answer
    x = 54,683.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.