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Finding the Third Proportional to 24,588.56 and 36,789.19

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Solution

The third proportional to 24,588.56 and 36,789.19 is: 55,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588.56 : 36,789.19 = 36,789.19 : x
  2. Step 2: Convert to fraction form
    24,588.56/36,789.19 = 36,789.19/x
  3. Step 3: Cross multiply
    24,588.56x = 36,789.19 × 36,789.19
  4. Step 4: Simplify right side
    24,588.56x = 1,353,444,316.91
  5. Step 5: Solve for x
    x = 1,353,444,316.91/24,588.56
  6. Step 6: Final answer
    x = 55,043.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.