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Finding the Third Proportional to 35,822.25 and 76,398.19

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Solution

The third proportional to 35,822.25 and 76,398.19 is: 162,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822.25 : 76,398.19 = 76,398.19 : x
  2. Step 2: Convert to fraction form
    35,822.25/76,398.19 = 76,398.19/x
  3. Step 3: Cross multiply
    35,822.25x = 76,398.19 × 76,398.19
  4. Step 4: Simplify right side
    35,822.25x = 5,836,683,053.29
  5. Step 5: Solve for x
    x = 5,836,683,053.29/35,822.25
  6. Step 6: Final answer
    x = 162,934.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.