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Finding the Third Proportional to 31,342.50 and 65,277

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Solution

The third proportional to 31,342.50 and 65,277 is: 135,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.50 : 65,277 = 65,277 : x
  2. Step 2: Convert to fraction form
    31,342.50/65,277 = 65,277/x
  3. Step 3: Cross multiply
    31,342.50x = 65,277 × 65,277
  4. Step 4: Simplify right side
    31,342.50x = 4,261,086,729
  5. Step 5: Solve for x
    x = 4,261,086,729/31,342.50
  6. Step 6: Final answer
    x = 135,952.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.