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Finding the Third Proportional to 6,542 and 9,842

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Solution

The third proportional to 6,542 and 9,842 is: 14,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542 : 9,842 = 9,842 : x
  2. Step 2: Convert to fraction form
    6,542/9,842 = 9,842/x
  3. Step 3: Cross multiply
    6,542x = 9,842 × 9,842
  4. Step 4: Simplify right side
    6,542x = 96,864,964
  5. Step 5: Solve for x
    x = 96,864,964/6,542
  6. Step 6: Final answer
    x = 14,806.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.