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Finding the Third Proportional to 35,671 and 84,358.75

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Solution

The third proportional to 35,671 and 84,358.75 is: 199,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671 : 84,358.75 = 84,358.75 : x
  2. Step 2: Convert to fraction form
    35,671/84,358.75 = 84,358.75/x
  3. Step 3: Cross multiply
    35,671x = 84,358.75 × 84,358.75
  4. Step 4: Simplify right side
    35,671x = 7,116,398,701.56
  5. Step 5: Solve for x
    x = 7,116,398,701.56/35,671
  6. Step 6: Final answer
    x = 199,500.96

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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.