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Finding the Third Proportional to 42,867 and 65,932.50

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Solution

The third proportional to 42,867 and 65,932.50 is: 101,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,867 : 65,932.50 = 65,932.50 : x
  2. Step 2: Convert to fraction form
    42,867/65,932.50 = 65,932.50/x
  3. Step 3: Cross multiply
    42,867x = 65,932.50 × 65,932.50
  4. Step 4: Simplify right side
    42,867x = 4,347,094,556.25
  5. Step 5: Solve for x
    x = 4,347,094,556.25/42,867
  6. Step 6: Final answer
    x = 101,408.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.