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Finding the Third Proportional to 35,984.25 and 79,822.13

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Solution

The third proportional to 35,984.25 and 79,822.13 is: 177,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.25 : 79,822.13 = 79,822.13 : x
  2. Step 2: Convert to fraction form
    35,984.25/79,822.13 = 79,822.13/x
  3. Step 3: Cross multiply
    35,984.25x = 79,822.13 × 79,822.13
  4. Step 4: Simplify right side
    35,984.25x = 6,371,571,639.52
  5. Step 5: Solve for x
    x = 6,371,571,639.52/35,984.25
  6. Step 6: Final answer
    x = 177,065.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.