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Finding the Third Proportional to 4,360.50 and 5,049

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Solution

The third proportional to 4,360.50 and 5,049 is: 5,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360.50 : 5,049 = 5,049 : x
  2. Step 2: Convert to fraction form
    4,360.50/5,049 = 5,049/x
  3. Step 3: Cross multiply
    4,360.50x = 5,049 × 5,049
  4. Step 4: Simplify right side
    4,360.50x = 25,492,401
  5. Step 5: Solve for x
    x = 25,492,401/4,360.50
  6. Step 6: Final answer
    x = 5,846.21

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.