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Finding the Third Proportional to 2,249.02 and 4,823.30

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Solution

The third proportional to 2,249.02 and 4,823.30 is: 10,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.02 : 4,823.30 = 4,823.30 : x
  2. Step 2: Convert to fraction form
    2,249.02/4,823.30 = 4,823.30/x
  3. Step 3: Cross multiply
    2,249.02x = 4,823.30 × 4,823.30
  4. Step 4: Simplify right side
    2,249.02x = 23,264,192.74
  5. Step 5: Solve for x
    x = 23,264,192.74/2,249.02
  6. Step 6: Final answer
    x = 10,344.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.