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Finding the Third Proportional to 31,325 and 65,725.50

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Solution

The third proportional to 31,325 and 65,725.50 is: 137,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,325 : 65,725.50 = 65,725.50 : x
  2. Step 2: Convert to fraction form
    31,325/65,725.50 = 65,725.50/x
  3. Step 3: Cross multiply
    31,325x = 65,725.50 × 65,725.50
  4. Step 4: Simplify right side
    31,325x = 4,319,841,350.25
  5. Step 5: Solve for x
    x = 4,319,841,350.25/31,325
  6. Step 6: Final answer
    x = 137,903.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.