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Finding the Third Proportional to 3,567.38 and 7,383.38

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Solution

The third proportional to 3,567.38 and 7,383.38 is: 15,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.38 : 7,383.38 = 7,383.38 : x
  2. Step 2: Convert to fraction form
    3,567.38/7,383.38 = 7,383.38/x
  3. Step 3: Cross multiply
    3,567.38x = 7,383.38 × 7,383.38
  4. Step 4: Simplify right side
    3,567.38x = 54,514,226.39
  5. Step 5: Solve for x
    x = 54,514,226.39/3,567.38
  6. Step 6: Final answer
    x = 15,281.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.