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Finding the Third Proportional to 13,552.50 and 32,649

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Solution

The third proportional to 13,552.50 and 32,649 is: 78,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.50 : 32,649 = 32,649 : x
  2. Step 2: Convert to fraction form
    13,552.50/32,649 = 32,649/x
  3. Step 3: Cross multiply
    13,552.50x = 32,649 × 32,649
  4. Step 4: Simplify right side
    13,552.50x = 1,065,957,201
  5. Step 5: Solve for x
    x = 1,065,957,201/13,552.50
  6. Step 6: Final answer
    x = 78,653.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.