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Finding the Third Proportional to 31,290.50 and 65,170

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Solution

The third proportional to 31,290.50 and 65,170 is: 135,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.50 : 65,170 = 65,170 : x
  2. Step 2: Convert to fraction form
    31,290.50/65,170 = 65,170/x
  3. Step 3: Cross multiply
    31,290.50x = 65,170 × 65,170
  4. Step 4: Simplify right side
    31,290.50x = 4,247,128,900
  5. Step 5: Solve for x
    x = 4,247,128,900/31,290.50
  6. Step 6: Final answer
    x = 135,732.22

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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.