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Finding the Third Proportional to 3,699.11 and 5,718.09

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Solution

The third proportional to 3,699.11 and 5,718.09 is: 8,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.11 : 5,718.09 = 5,718.09 : x
  2. Step 2: Convert to fraction form
    3,699.11/5,718.09 = 5,718.09/x
  3. Step 3: Cross multiply
    3,699.11x = 5,718.09 × 5,718.09
  4. Step 4: Simplify right side
    3,699.11x = 32,696,596.13
  5. Step 5: Solve for x
    x = 32,696,596.13/3,699.11
  6. Step 6: Final answer
    x = 8,839.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.