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Finding the Third Proportional to 7,832 and 13,840

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Solution

The third proportional to 7,832 and 13,840 is: 24,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 13,840 = 13,840 : x
  2. Step 2: Convert to fraction form
    7,832/13,840 = 13,840/x
  3. Step 3: Cross multiply
    7,832x = 13,840 × 13,840
  4. Step 4: Simplify right side
    7,832x = 191,545,600
  5. Step 5: Solve for x
    x = 191,545,600/7,832
  6. Step 6: Final answer
    x = 24,456.79

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.