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Finding the Third Proportional to 5,542 and 7,029

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Solution

The third proportional to 5,542 and 7,029 is: 8,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542 : 7,029 = 7,029 : x
  2. Step 2: Convert to fraction form
    5,542/7,029 = 7,029/x
  3. Step 3: Cross multiply
    5,542x = 7,029 × 7,029
  4. Step 4: Simplify right side
    5,542x = 49,406,841
  5. Step 5: Solve for x
    x = 49,406,841/5,542
  6. Step 6: Final answer
    x = 8,914.98

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.