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Finding the Third Proportional to 32,412.66 and 75,081.94

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Solution

The third proportional to 32,412.66 and 75,081.94 is: 173,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.66 : 75,081.94 = 75,081.94 : x
  2. Step 2: Convert to fraction form
    32,412.66/75,081.94 = 75,081.94/x
  3. Step 3: Cross multiply
    32,412.66x = 75,081.94 × 75,081.94
  4. Step 4: Simplify right side
    32,412.66x = 5,637,297,338.75
  5. Step 5: Solve for x
    x = 5,637,297,338.75/32,412.66
  6. Step 6: Final answer
    x = 173,922.72

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.