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Finding the Third Proportional to 4,328.44 and 9,271.97

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Solution

The third proportional to 4,328.44 and 9,271.97 is: 19,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.44 : 9,271.97 = 9,271.97 : x
  2. Step 2: Convert to fraction form
    4,328.44/9,271.97 = 9,271.97/x
  3. Step 3: Cross multiply
    4,328.44x = 9,271.97 × 9,271.97
  4. Step 4: Simplify right side
    4,328.44x = 85,969,404.50
  5. Step 5: Solve for x
    x = 85,969,404.50/4,328.44
  6. Step 6: Final answer
    x = 19,861.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.