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Finding the Third Proportional to 13,611.38 and 32,772.94

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Solution

The third proportional to 13,611.38 and 32,772.94 is: 78,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.38 : 32,772.94 = 32,772.94 : x
  2. Step 2: Convert to fraction form
    13,611.38/32,772.94 = 32,772.94/x
  3. Step 3: Cross multiply
    13,611.38x = 32,772.94 × 32,772.94
  4. Step 4: Simplify right side
    13,611.38x = 1,074,065,432.38
  5. Step 5: Solve for x
    x = 1,074,065,432.38/13,611.38
  6. Step 6: Final answer
    x = 78,909.40

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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.