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Finding the Third Proportional to 32,270.63 and 69,639.75

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Solution

The third proportional to 32,270.63 and 69,639.75 is: 150,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,270.63 : 69,639.75 = 69,639.75 : x
  2. Step 2: Convert to fraction form
    32,270.63/69,639.75 = 69,639.75/x
  3. Step 3: Cross multiply
    32,270.63x = 69,639.75 × 69,639.75
  4. Step 4: Simplify right side
    32,270.63x = 4,849,694,780.06
  5. Step 5: Solve for x
    x = 4,849,694,780.06/32,270.63
  6. Step 6: Final answer
    x = 150,282.02

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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.