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Finding the Third Proportional to 6,894 and 7,542

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Solution

The third proportional to 6,894 and 7,542 is: 8,250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894 : 7,542 = 7,542 : x
  2. Step 2: Convert to fraction form
    6,894/7,542 = 7,542/x
  3. Step 3: Cross multiply
    6,894x = 7,542 × 7,542
  4. Step 4: Simplify right side
    6,894x = 56,881,764
  5. Step 5: Solve for x
    x = 56,881,764/6,894
  6. Step 6: Final answer
    x = 8,250.91

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.