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Finding the Third Proportional to 5,722 and 8,642

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Solution

The third proportional to 5,722 and 8,642 is: 13,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722 : 8,642 = 8,642 : x
  2. Step 2: Convert to fraction form
    5,722/8,642 = 8,642/x
  3. Step 3: Cross multiply
    5,722x = 8,642 × 8,642
  4. Step 4: Simplify right side
    5,722x = 74,684,164
  5. Step 5: Solve for x
    x = 74,684,164/5,722
  6. Step 6: Final answer
    x = 13,052.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.