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Finding the Third Proportional to 1,567.94 and 3,383.38

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Solution

The third proportional to 1,567.94 and 3,383.38 is: 7,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.94 : 3,383.38 = 3,383.38 : x
  2. Step 2: Convert to fraction form
    1,567.94/3,383.38 = 3,383.38/x
  3. Step 3: Cross multiply
    1,567.94x = 3,383.38 × 3,383.38
  4. Step 4: Simplify right side
    1,567.94x = 11,447,226.39
  5. Step 5: Solve for x
    x = 11,447,226.39/1,567.94
  6. Step 6: Final answer
    x = 7,300.82

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