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Finding the Third Proportional to 3,682.13 and 5,177.81

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Solution

The third proportional to 3,682.13 and 5,177.81 is: 7,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.13 : 5,177.81 = 5,177.81 : x
  2. Step 2: Convert to fraction form
    3,682.13/5,177.81 = 5,177.81/x
  3. Step 3: Cross multiply
    3,682.13x = 5,177.81 × 5,177.81
  4. Step 4: Simplify right side
    3,682.13x = 26,809,742.29
  5. Step 5: Solve for x
    x = 26,809,742.29/3,682.13
  6. Step 6: Final answer
    x = 7,281.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.