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Finding the Third Proportional to 32,324.06 and 69,568.88

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Solution

The third proportional to 32,324.06 and 69,568.88 is: 149,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324.06 : 69,568.88 = 69,568.88 : x
  2. Step 2: Convert to fraction form
    32,324.06/69,568.88 = 69,568.88/x
  3. Step 3: Cross multiply
    32,324.06x = 69,568.88 × 69,568.88
  4. Step 4: Simplify right side
    32,324.06x = 4,839,828,368.77
  5. Step 5: Solve for x
    x = 4,839,828,368.77/32,324.06
  6. Step 6: Final answer
    x = 149,728.34

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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.