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Finding the Third Proportional to 5,254.73 and 10,363.49

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Solution

The third proportional to 5,254.73 and 10,363.49 is: 20,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.73 : 10,363.49 = 10,363.49 : x
  2. Step 2: Convert to fraction form
    5,254.73/10,363.49 = 10,363.49/x
  3. Step 3: Cross multiply
    5,254.73x = 10,363.49 × 10,363.49
  4. Step 4: Simplify right side
    5,254.73x = 107,401,898.84
  5. Step 5: Solve for x
    x = 107,401,898.84/5,254.73
  6. Step 6: Final answer
    x = 20,439.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.