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Finding the Third Proportional to 3,926.50 and 6,071.94

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Solution

The third proportional to 3,926.50 and 6,071.94 is: 9,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.50 : 6,071.94 = 6,071.94 : x
  2. Step 2: Convert to fraction form
    3,926.50/6,071.94 = 6,071.94/x
  3. Step 3: Cross multiply
    3,926.50x = 6,071.94 × 6,071.94
  4. Step 4: Simplify right side
    3,926.50x = 36,868,425.00
  5. Step 5: Solve for x
    x = 36,868,425.00/3,926.50
  6. Step 6: Final answer
    x = 9,389.64

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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.