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Finding the Third Proportional to 9,306.70 and 20,071.41

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Solution

The third proportional to 9,306.70 and 20,071.41 is: 43,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.70 : 20,071.41 = 20,071.41 : x
  2. Step 2: Convert to fraction form
    9,306.70/20,071.41 = 20,071.41/x
  3. Step 3: Cross multiply
    9,306.70x = 20,071.41 × 20,071.41
  4. Step 4: Simplify right side
    9,306.70x = 402,861,348.85
  5. Step 5: Solve for x
    x = 402,861,348.85/9,306.70
  6. Step 6: Final answer
    x = 43,287.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.