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Finding the Third Proportional to 5,724 and 8,343

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Solution

The third proportional to 5,724 and 8,343 is: 12,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724 : 8,343 = 8,343 : x
  2. Step 2: Convert to fraction form
    5,724/8,343 = 8,343/x
  3. Step 3: Cross multiply
    5,724x = 8,343 × 8,343
  4. Step 4: Simplify right side
    5,724x = 69,605,649
  5. Step 5: Solve for x
    x = 69,605,649/5,724
  6. Step 6: Final answer
    x = 12,160.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.