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Finding the Third Proportional to 3,977.81 and 6,071.34

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Solution

The third proportional to 3,977.81 and 6,071.34 is: 9,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.81 : 6,071.34 = 6,071.34 : x
  2. Step 2: Convert to fraction form
    3,977.81/6,071.34 = 6,071.34/x
  3. Step 3: Cross multiply
    3,977.81x = 6,071.34 × 6,071.34
  4. Step 4: Simplify right side
    3,977.81x = 36,861,214.93
  5. Step 5: Solve for x
    x = 36,861,214.93/3,977.81
  6. Step 6: Final answer
    x = 9,266.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.