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Finding the Third Proportional to 23,046.75 and 34,983

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Solution

The third proportional to 23,046.75 and 34,983 is: 53,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.75 : 34,983 = 34,983 : x
  2. Step 2: Convert to fraction form
    23,046.75/34,983 = 34,983/x
  3. Step 3: Cross multiply
    23,046.75x = 34,983 × 34,983
  4. Step 4: Simplify right side
    23,046.75x = 1,223,810,289
  5. Step 5: Solve for x
    x = 1,223,810,289/23,046.75
  6. Step 6: Final answer
    x = 53,101.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.