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Finding the Third Proportional to 5,782 and 12,642

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Solution

The third proportional to 5,782 and 12,642 is: 27,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 12,642 = 12,642 : x
  2. Step 2: Convert to fraction form
    5,782/12,642 = 12,642/x
  3. Step 3: Cross multiply
    5,782x = 12,642 × 12,642
  4. Step 4: Simplify right side
    5,782x = 159,820,164
  5. Step 5: Solve for x
    x = 159,820,164/5,782
  6. Step 6: Final answer
    x = 27,640.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.