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Finding the Third Proportional to 23,100 and 35,754

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Solution

The third proportional to 23,100 and 35,754 is: 55,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100 : 35,754 = 35,754 : x
  2. Step 2: Convert to fraction form
    23,100/35,754 = 35,754/x
  3. Step 3: Cross multiply
    23,100x = 35,754 × 35,754
  4. Step 4: Simplify right side
    23,100x = 1,278,348,516
  5. Step 5: Solve for x
    x = 1,278,348,516/23,100
  6. Step 6: Final answer
    x = 55,339.76

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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.