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Finding the Third Proportional to 35,710 and 84,439

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Solution

The third proportional to 35,710 and 84,439 is: 199,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710 : 84,439 = 84,439 : x
  2. Step 2: Convert to fraction form
    35,710/84,439 = 84,439/x
  3. Step 3: Cross multiply
    35,710x = 84,439 × 84,439
  4. Step 4: Simplify right side
    35,710x = 7,129,944,721
  5. Step 5: Solve for x
    x = 7,129,944,721/35,710
  6. Step 6: Final answer
    x = 199,662.41

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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.