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Finding the Third Proportional to 2,193.12 and 4,796.30

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Solution

The third proportional to 2,193.12 and 4,796.30 is: 10,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.12 : 4,796.30 = 4,796.30 : x
  2. Step 2: Convert to fraction form
    2,193.12/4,796.30 = 4,796.30/x
  3. Step 3: Cross multiply
    2,193.12x = 4,796.30 × 4,796.30
  4. Step 4: Simplify right side
    2,193.12x = 23,004,463.71
  5. Step 5: Solve for x
    x = 23,004,463.71/2,193.12
  6. Step 6: Final answer
    x = 10,489.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.