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Finding the Third Proportional to 5,197.50 and 10,701

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Solution

The third proportional to 5,197.50 and 10,701 is: 22,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.50 : 10,701 = 10,701 : x
  2. Step 2: Convert to fraction form
    5,197.50/10,701 = 10,701/x
  3. Step 3: Cross multiply
    5,197.50x = 10,701 × 10,701
  4. Step 4: Simplify right side
    5,197.50x = 114,511,401
  5. Step 5: Solve for x
    x = 114,511,401/5,197.50
  6. Step 6: Final answer
    x = 22,032.02

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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.