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Finding the Third Proportional to 5,198.50 and 10,703

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Solution

The third proportional to 5,198.50 and 10,703 is: 22,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.50 : 10,703 = 10,703 : x
  2. Step 2: Convert to fraction form
    5,198.50/10,703 = 10,703/x
  3. Step 3: Cross multiply
    5,198.50x = 10,703 × 10,703
  4. Step 4: Simplify right side
    5,198.50x = 114,554,209
  5. Step 5: Solve for x
    x = 114,554,209/5,198.50
  6. Step 6: Final answer
    x = 22,036.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.