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Finding the Third Proportional to 27,832.99 and 49,053.73

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Solution

The third proportional to 27,832.99 and 49,053.73 is: 86,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.99 : 49,053.73 = 49,053.73 : x
  2. Step 2: Convert to fraction form
    27,832.99/49,053.73 = 49,053.73/x
  3. Step 3: Cross multiply
    27,832.99x = 49,053.73 × 49,053.73
  4. Step 4: Simplify right side
    27,832.99x = 2,406,268,089.67
  5. Step 5: Solve for x
    x = 2,406,268,089.67/27,832.99
  6. Step 6: Final answer
    x = 86,453.81

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.