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Finding the Third Proportional to 31,339.88 and 65,271.75

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Solution

The third proportional to 31,339.88 and 65,271.75 is: 135,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,339.88 : 65,271.75 = 65,271.75 : x
  2. Step 2: Convert to fraction form
    31,339.88/65,271.75 = 65,271.75/x
  3. Step 3: Cross multiply
    31,339.88x = 65,271.75 × 65,271.75
  4. Step 4: Simplify right side
    31,339.88x = 4,260,401,348.06
  5. Step 5: Solve for x
    x = 4,260,401,348.06/31,339.88
  6. Step 6: Final answer
    x = 135,941.87

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