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Finding the Third Proportional to 5,063.50 and 10,451

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Solution

The third proportional to 5,063.50 and 10,451 is: 21,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.50 : 10,451 = 10,451 : x
  2. Step 2: Convert to fraction form
    5,063.50/10,451 = 10,451/x
  3. Step 3: Cross multiply
    5,063.50x = 10,451 × 10,451
  4. Step 4: Simplify right side
    5,063.50x = 109,223,401
  5. Step 5: Solve for x
    x = 109,223,401/5,063.50
  6. Step 6: Final answer
    x = 21,570.73

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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.