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Finding the Third Proportional to 2,590.31 and 3,897.28

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Solution

The third proportional to 2,590.31 and 3,897.28 is: 5,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.31 : 3,897.28 = 3,897.28 : x
  2. Step 2: Convert to fraction form
    2,590.31/3,897.28 = 3,897.28/x
  3. Step 3: Cross multiply
    2,590.31x = 3,897.28 × 3,897.28
  4. Step 4: Simplify right side
    2,590.31x = 15,188,801.14
  5. Step 5: Solve for x
    x = 15,188,801.14/2,590.31
  6. Step 6: Final answer
    x = 5,863.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.