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Finding the Third Proportional to 31,235.50 and 65,957

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Solution

The third proportional to 31,235.50 and 65,957 is: 139,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.50 : 65,957 = 65,957 : x
  2. Step 2: Convert to fraction form
    31,235.50/65,957 = 65,957/x
  3. Step 3: Cross multiply
    31,235.50x = 65,957 × 65,957
  4. Step 4: Simplify right side
    31,235.50x = 4,350,325,849
  5. Step 5: Solve for x
    x = 4,350,325,849/31,235.50
  6. Step 6: Final answer
    x = 139,275.05

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.