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Finding the Third Proportional to 23,014.13 and 29,976.75

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Solution

The third proportional to 23,014.13 and 29,976.75 is: 39,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.13 : 29,976.75 = 29,976.75 : x
  2. Step 2: Convert to fraction form
    23,014.13/29,976.75 = 29,976.75/x
  3. Step 3: Cross multiply
    23,014.13x = 29,976.75 × 29,976.75
  4. Step 4: Simplify right side
    23,014.13x = 898,605,540.56
  5. Step 5: Solve for x
    x = 898,605,540.56/23,014.13
  6. Step 6: Final answer
    x = 39,045.83

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.