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Finding the Third Proportional to 2,290.05 and 3,668.14

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Solution

The third proportional to 2,290.05 and 3,668.14 is: 5,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.05 : 3,668.14 = 3,668.14 : x
  2. Step 2: Convert to fraction form
    2,290.05/3,668.14 = 3,668.14/x
  3. Step 3: Cross multiply
    2,290.05x = 3,668.14 × 3,668.14
  4. Step 4: Simplify right side
    2,290.05x = 13,455,230.57
  5. Step 5: Solve for x
    x = 13,455,230.57/2,290.05
  6. Step 6: Final answer
    x = 5,875.52

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.