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Finding the Third Proportional to 27,262.13 and 39,993.19

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Solution

The third proportional to 27,262.13 and 39,993.19 is: 58,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262.13 : 39,993.19 = 39,993.19 : x
  2. Step 2: Convert to fraction form
    27,262.13/39,993.19 = 39,993.19/x
  3. Step 3: Cross multiply
    27,262.13x = 39,993.19 × 39,993.19
  4. Step 4: Simplify right side
    27,262.13x = 1,599,455,046.41
  5. Step 5: Solve for x
    x = 1,599,455,046.41/27,262.13
  6. Step 6: Final answer
    x = 58,669.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.