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Finding the Third Proportional to 7,344 and 13,040

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Solution

The third proportional to 7,344 and 13,040 is: 23,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344 : 13,040 = 13,040 : x
  2. Step 2: Convert to fraction form
    7,344/13,040 = 13,040/x
  3. Step 3: Cross multiply
    7,344x = 13,040 × 13,040
  4. Step 4: Simplify right side
    7,344x = 170,041,600
  5. Step 5: Solve for x
    x = 170,041,600/7,344
  6. Step 6: Final answer
    x = 23,153.81

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.