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Finding the Third Proportional to 57,822.75 and 84,272.91

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Solution

The third proportional to 57,822.75 and 84,272.91 is: 122,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,822.75 : 84,272.91 = 84,272.91 : x
  2. Step 2: Convert to fraction form
    57,822.75/84,272.91 = 84,272.91/x
  3. Step 3: Cross multiply
    57,822.75x = 84,272.91 × 84,272.91
  4. Step 4: Simplify right side
    57,822.75x = 7,101,922,727.82
  5. Step 5: Solve for x
    x = 7,101,922,727.82/57,822.75
  6. Step 6: Final answer
    x = 122,822.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.