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Finding the Third Proportional to 808.03 and 1,567.97

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Solution

The third proportional to 808.03 and 1,567.97 is: 3,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.03 : 1,567.97 = 1,567.97 : x
  2. Step 2: Convert to fraction form
    808.03/1,567.97 = 1,567.97/x
  3. Step 3: Cross multiply
    808.03x = 1,567.97 × 1,567.97
  4. Step 4: Simplify right side
    808.03x = 2,458,526.00
  5. Step 5: Solve for x
    x = 2,458,526.00/808.03
  6. Step 6: Final answer
    x = 3,042.61

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.