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Finding the Third Proportional to 35,708 and 84,434

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Solution

The third proportional to 35,708 and 84,434 is: 199,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,708 : 84,434 = 84,434 : x
  2. Step 2: Convert to fraction form
    35,708/84,434 = 84,434/x
  3. Step 3: Cross multiply
    35,708x = 84,434 × 84,434
  4. Step 4: Simplify right side
    35,708x = 7,129,100,356
  5. Step 5: Solve for x
    x = 7,129,100,356/35,708
  6. Step 6: Final answer
    x = 199,649.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.