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Finding the Third Proportional to 3,071.81 and 4,610.81

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Solution

The third proportional to 3,071.81 and 4,610.81 is: 6,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.81 : 4,610.81 = 4,610.81 : x
  2. Step 2: Convert to fraction form
    3,071.81/4,610.81 = 4,610.81/x
  3. Step 3: Cross multiply
    3,071.81x = 4,610.81 × 4,610.81
  4. Step 4: Simplify right side
    3,071.81x = 21,259,591.91
  5. Step 5: Solve for x
    x = 21,259,591.91/3,071.81
  6. Step 6: Final answer
    x = 6,920.86

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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.