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Finding the Third Proportional to 12,086 and 26,386

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Solution

The third proportional to 12,086 and 26,386 is: 57,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086 : 26,386 = 26,386 : x
  2. Step 2: Convert to fraction form
    12,086/26,386 = 26,386/x
  3. Step 3: Cross multiply
    12,086x = 26,386 × 26,386
  4. Step 4: Simplify right side
    12,086x = 696,220,996
  5. Step 5: Solve for x
    x = 696,220,996/12,086
  6. Step 6: Final answer
    x = 57,605.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.