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Finding the Third Proportional to 12,086 and 26,624

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Solution

The third proportional to 12,086 and 26,624 is: 58,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086 : 26,624 = 26,624 : x
  2. Step 2: Convert to fraction form
    12,086/26,624 = 26,624/x
  3. Step 3: Cross multiply
    12,086x = 26,624 × 26,624
  4. Step 4: Simplify right side
    12,086x = 708,837,376
  5. Step 5: Solve for x
    x = 708,837,376/12,086
  6. Step 6: Final answer
    x = 58,649.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.