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Finding the Third Proportional to 6,810 and 9,659

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Solution

The third proportional to 6,810 and 9,659 is: 13,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810 : 9,659 = 9,659 : x
  2. Step 2: Convert to fraction form
    6,810/9,659 = 9,659/x
  3. Step 3: Cross multiply
    6,810x = 9,659 × 9,659
  4. Step 4: Simplify right side
    6,810x = 93,296,281
  5. Step 5: Solve for x
    x = 93,296,281/6,810
  6. Step 6: Final answer
    x = 13,699.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.