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Finding the Third Proportional to 2,287 and 3,590.50

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Solution

The third proportional to 2,287 and 3,590.50 is: 5,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287 : 3,590.50 = 3,590.50 : x
  2. Step 2: Convert to fraction form
    2,287/3,590.50 = 3,590.50/x
  3. Step 3: Cross multiply
    2,287x = 3,590.50 × 3,590.50
  4. Step 4: Simplify right side
    2,287x = 12,891,690.25
  5. Step 5: Solve for x
    x = 12,891,690.25/2,287
  6. Step 6: Final answer
    x = 5,636.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.