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Finding the Third Proportional to 32,282.50 and 69,662

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Solution

The third proportional to 32,282.50 and 69,662 is: 150,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.50 : 69,662 = 69,662 : x
  2. Step 2: Convert to fraction form
    32,282.50/69,662 = 69,662/x
  3. Step 3: Cross multiply
    32,282.50x = 69,662 × 69,662
  4. Step 4: Simplify right side
    32,282.50x = 4,852,794,244
  5. Step 5: Solve for x
    x = 4,852,794,244/32,282.50
  6. Step 6: Final answer
    x = 150,322.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.