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Finding the Third Proportional to 32,215.88 and 65,337.75

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Solution

The third proportional to 32,215.88 and 65,337.75 is: 132,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,215.88 : 65,337.75 = 65,337.75 : x
  2. Step 2: Convert to fraction form
    32,215.88/65,337.75 = 65,337.75/x
  3. Step 3: Cross multiply
    32,215.88x = 65,337.75 × 65,337.75
  4. Step 4: Simplify right side
    32,215.88x = 4,269,021,575.06
  5. Step 5: Solve for x
    x = 4,269,021,575.06/32,215.88
  6. Step 6: Final answer
    x = 132,512.98

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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.