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Finding the Third Proportional to 1,663.03 and 2,890.27

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Solution

The third proportional to 1,663.03 and 2,890.27 is: 5,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.03 : 2,890.27 = 2,890.27 : x
  2. Step 2: Convert to fraction form
    1,663.03/2,890.27 = 2,890.27/x
  3. Step 3: Cross multiply
    1,663.03x = 2,890.27 × 2,890.27
  4. Step 4: Simplify right side
    1,663.03x = 8,353,635.38
  5. Step 5: Solve for x
    x = 8,353,635.38/1,663.03
  6. Step 6: Final answer
    x = 5,023.14

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.