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Finding the Third Proportional to 48,286.50 and 70,701

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Solution

The third proportional to 48,286.50 and 70,701 is: 103,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,286.50 : 70,701 = 70,701 : x
  2. Step 2: Convert to fraction form
    48,286.50/70,701 = 70,701/x
  3. Step 3: Cross multiply
    48,286.50x = 70,701 × 70,701
  4. Step 4: Simplify right side
    48,286.50x = 4,998,631,401
  5. Step 5: Solve for x
    x = 4,998,631,401/48,286.50
  6. Step 6: Final answer
    x = 103,520.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.