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Finding the Third Proportional to 3,926.11 and 6,071.41

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Solution

The third proportional to 3,926.11 and 6,071.41 is: 9,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.11 : 6,071.41 = 6,071.41 : x
  2. Step 2: Convert to fraction form
    3,926.11/6,071.41 = 6,071.41/x
  3. Step 3: Cross multiply
    3,926.11x = 6,071.41 × 6,071.41
  4. Step 4: Simplify right side
    3,926.11x = 36,862,068.72
  5. Step 5: Solve for x
    x = 36,862,068.72/3,926.11
  6. Step 6: Final answer
    x = 9,388.96

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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.