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Finding the Third Proportional to 32,218.50 and 65,343

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Solution

The third proportional to 32,218.50 and 65,343 is: 132,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,218.50 : 65,343 = 65,343 : x
  2. Step 2: Convert to fraction form
    32,218.50/65,343 = 65,343/x
  3. Step 3: Cross multiply
    32,218.50x = 65,343 × 65,343
  4. Step 4: Simplify right side
    32,218.50x = 4,269,707,649
  5. Step 5: Solve for x
    x = 4,269,707,649/32,218.50
  6. Step 6: Final answer
    x = 132,523.48

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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.