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Finding the Third Proportional to 32,187.38 and 44,544.94

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Solution

The third proportional to 32,187.38 and 44,544.94 is: 61,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187.38 : 44,544.94 = 44,544.94 : x
  2. Step 2: Convert to fraction form
    32,187.38/44,544.94 = 44,544.94/x
  3. Step 3: Cross multiply
    32,187.38x = 44,544.94 × 44,544.94
  4. Step 4: Simplify right side
    32,187.38x = 1,984,251,456.88
  5. Step 5: Solve for x
    x = 1,984,251,456.88/32,187.38
  6. Step 6: Final answer
    x = 61,646.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.