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Finding the Third Proportional to 27,089.44 and 32,010.19

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Solution

The third proportional to 27,089.44 and 32,010.19 is: 37,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,089.44 : 32,010.19 = 32,010.19 : x
  2. Step 2: Convert to fraction form
    27,089.44/32,010.19 = 32,010.19/x
  3. Step 3: Cross multiply
    27,089.44x = 32,010.19 × 32,010.19
  4. Step 4: Simplify right side
    27,089.44x = 1,024,652,103.79
  5. Step 5: Solve for x
    x = 1,024,652,103.79/27,089.44
  6. Step 6: Final answer
    x = 37,824.78

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.