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Finding the Third Proportional to 23,102 and 35,757

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Solution

The third proportional to 23,102 and 35,757 is: 55,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102 : 35,757 = 35,757 : x
  2. Step 2: Convert to fraction form
    23,102/35,757 = 35,757/x
  3. Step 3: Cross multiply
    23,102x = 35,757 × 35,757
  4. Step 4: Simplify right side
    23,102x = 1,278,563,049
  5. Step 5: Solve for x
    x = 1,278,563,049/23,102
  6. Step 6: Final answer
    x = 55,344.26

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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.