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Finding the Third Proportional to 4,519.23 and 9,747.53

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Solution

The third proportional to 4,519.23 and 9,747.53 is: 21,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.23 : 9,747.53 = 9,747.53 : x
  2. Step 2: Convert to fraction form
    4,519.23/9,747.53 = 9,747.53/x
  3. Step 3: Cross multiply
    4,519.23x = 9,747.53 × 9,747.53
  4. Step 4: Simplify right side
    4,519.23x = 95,014,289.32
  5. Step 5: Solve for x
    x = 95,014,289.32/4,519.23
  6. Step 6: Final answer
    x = 21,024.44

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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.