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Finding the Third Proportional to 32,215.75 and 65,337.50

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Solution

The third proportional to 32,215.75 and 65,337.50 is: 132,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,215.75 : 65,337.50 = 65,337.50 : x
  2. Step 2: Convert to fraction form
    32,215.75/65,337.50 = 65,337.50/x
  3. Step 3: Cross multiply
    32,215.75x = 65,337.50 × 65,337.50
  4. Step 4: Simplify right side
    32,215.75x = 4,268,988,906.25
  5. Step 5: Solve for x
    x = 4,268,988,906.25/32,215.75
  6. Step 6: Final answer
    x = 132,512.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.