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Finding the Third Proportional to 35,062 and 75,775

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Solution

The third proportional to 35,062 and 75,775 is: 163,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,062 : 75,775 = 75,775 : x
  2. Step 2: Convert to fraction form
    35,062/75,775 = 75,775/x
  3. Step 3: Cross multiply
    35,062x = 75,775 × 75,775
  4. Step 4: Simplify right side
    35,062x = 5,741,850,625
  5. Step 5: Solve for x
    x = 5,741,850,625/35,062
  6. Step 6: Final answer
    x = 163,762.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.