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Finding the Third Proportional to 9,350.72 and 20,290.97

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Solution

The third proportional to 9,350.72 and 20,290.97 is: 44,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.72 : 20,290.97 = 20,290.97 : x
  2. Step 2: Convert to fraction form
    9,350.72/20,290.97 = 20,290.97/x
  3. Step 3: Cross multiply
    9,350.72x = 20,290.97 × 20,290.97
  4. Step 4: Simplify right side
    9,350.72x = 411,723,412.81
  5. Step 5: Solve for x
    x = 411,723,412.81/9,350.72
  6. Step 6: Final answer
    x = 44,031.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.