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Finding the Third Proportional to 35,862 and 83,337

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Solution

The third proportional to 35,862 and 83,337 is: 193,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862 : 83,337 = 83,337 : x
  2. Step 2: Convert to fraction form
    35,862/83,337 = 83,337/x
  3. Step 3: Cross multiply
    35,862x = 83,337 × 83,337
  4. Step 4: Simplify right side
    35,862x = 6,945,055,569
  5. Step 5: Solve for x
    x = 6,945,055,569/35,862
  6. Step 6: Final answer
    x = 193,660.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.