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Finding the Third Proportional to 32,213.95 and 69,195.52

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Solution

The third proportional to 32,213.95 and 69,195.52 is: 148,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.95 : 69,195.52 = 69,195.52 : x
  2. Step 2: Convert to fraction form
    32,213.95/69,195.52 = 69,195.52/x
  3. Step 3: Cross multiply
    32,213.95x = 69,195.52 × 69,195.52
  4. Step 4: Simplify right side
    32,213.95x = 4,788,019,382.61
  5. Step 5: Solve for x
    x = 4,788,019,382.61/32,213.95
  6. Step 6: Final answer
    x = 148,631.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.