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Finding the Third Proportional to 5,542 and 13,040

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Solution

The third proportional to 5,542 and 13,040 is: 30,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542 : 13,040 = 13,040 : x
  2. Step 2: Convert to fraction form
    5,542/13,040 = 13,040/x
  3. Step 3: Cross multiply
    5,542x = 13,040 × 13,040
  4. Step 4: Simplify right side
    5,542x = 170,041,600
  5. Step 5: Solve for x
    x = 170,041,600/5,542
  6. Step 6: Final answer
    x = 30,682.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.