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Finding the Third Proportional to 23,355.38 and 36,180.56

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Solution

The third proportional to 23,355.38 and 36,180.56 is: 56,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,355.38 : 36,180.56 = 36,180.56 : x
  2. Step 2: Convert to fraction form
    23,355.38/36,180.56 = 36,180.56/x
  3. Step 3: Cross multiply
    23,355.38x = 36,180.56 × 36,180.56
  4. Step 4: Simplify right side
    23,355.38x = 1,309,033,102.82
  5. Step 5: Solve for x
    x = 1,309,033,102.82/23,355.38
  6. Step 6: Final answer
    x = 56,048.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.