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Finding the Third Proportional to 2,233.51 and 4,813.49

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Solution

The third proportional to 2,233.51 and 4,813.49 is: 10,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.51 : 4,813.49 = 4,813.49 : x
  2. Step 2: Convert to fraction form
    2,233.51/4,813.49 = 4,813.49/x
  3. Step 3: Cross multiply
    2,233.51x = 4,813.49 × 4,813.49
  4. Step 4: Simplify right side
    2,233.51x = 23,169,669.43
  5. Step 5: Solve for x
    x = 23,169,669.43/2,233.51
  6. Step 6: Final answer
    x = 10,373.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.