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Finding the Third Proportional to 6,808.13 and 10,967.81

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Solution

The third proportional to 6,808.13 and 10,967.81 is: 17,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.13 : 10,967.81 = 10,967.81 : x
  2. Step 2: Convert to fraction form
    6,808.13/10,967.81 = 10,967.81/x
  3. Step 3: Cross multiply
    6,808.13x = 10,967.81 × 10,967.81
  4. Step 4: Simplify right side
    6,808.13x = 120,292,911.04
  5. Step 5: Solve for x
    x = 120,292,911.04/6,808.13
  6. Step 6: Final answer
    x = 17,669.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.