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Finding the Third Proportional to 32,620.50 and 62,649

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Solution

The third proportional to 32,620.50 and 62,649 is: 120,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,620.50 : 62,649 = 62,649 : x
  2. Step 2: Convert to fraction form
    32,620.50/62,649 = 62,649/x
  3. Step 3: Cross multiply
    32,620.50x = 62,649 × 62,649
  4. Step 4: Simplify right side
    32,620.50x = 3,924,897,201
  5. Step 5: Solve for x
    x = 3,924,897,201/32,620.50
  6. Step 6: Final answer
    x = 120,319.96

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.