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Finding the Third Proportional to 20,960.44 and 31,155.47

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Solution

The third proportional to 20,960.44 and 31,155.47 is: 46,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.44 : 31,155.47 = 31,155.47 : x
  2. Step 2: Convert to fraction form
    20,960.44/31,155.47 = 31,155.47/x
  3. Step 3: Cross multiply
    20,960.44x = 31,155.47 × 31,155.47
  4. Step 4: Simplify right side
    20,960.44x = 970,663,233.03
  5. Step 5: Solve for x
    x = 970,663,233.03/20,960.44
  6. Step 6: Final answer
    x = 46,309.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.