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Finding the Third Proportional to 2,235.73 and 4,415.13

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Solution

The third proportional to 2,235.73 and 4,415.13 is: 8,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.73 : 4,415.13 = 4,415.13 : x
  2. Step 2: Convert to fraction form
    2,235.73/4,415.13 = 4,415.13/x
  3. Step 3: Cross multiply
    2,235.73x = 4,415.13 × 4,415.13
  4. Step 4: Simplify right side
    2,235.73x = 19,493,397.75
  5. Step 5: Solve for x
    x = 19,493,397.75/2,235.73
  6. Step 6: Final answer
    x = 8,719.04

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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.