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Finding the Third Proportional to 4,328.44 and 9,960.47

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Solution

The third proportional to 4,328.44 and 9,960.47 is: 22,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.44 : 9,960.47 = 9,960.47 : x
  2. Step 2: Convert to fraction form
    4,328.44/9,960.47 = 9,960.47/x
  3. Step 3: Cross multiply
    4,328.44x = 9,960.47 × 9,960.47
  4. Step 4: Simplify right side
    4,328.44x = 99,210,937.72
  5. Step 5: Solve for x
    x = 99,210,937.72/4,328.44
  6. Step 6: Final answer
    x = 22,920.73

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.