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Finding the Third Proportional to 35,965.13 and 84,003.19

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Solution

The third proportional to 35,965.13 and 84,003.19 is: 196,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.13 : 84,003.19 = 84,003.19 : x
  2. Step 2: Convert to fraction form
    35,965.13/84,003.19 = 84,003.19/x
  3. Step 3: Cross multiply
    35,965.13x = 84,003.19 × 84,003.19
  4. Step 4: Simplify right side
    35,965.13x = 7,056,535,510.16
  5. Step 5: Solve for x
    x = 7,056,535,510.16/35,965.13
  6. Step 6: Final answer
    x = 196,204.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.