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Finding the Third Proportional to 2,247.83 and 3,402.98

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Solution

The third proportional to 2,247.83 and 3,402.98 is: 5,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.83 : 3,402.98 = 3,402.98 : x
  2. Step 2: Convert to fraction form
    2,247.83/3,402.98 = 3,402.98/x
  3. Step 3: Cross multiply
    2,247.83x = 3,402.98 × 3,402.98
  4. Step 4: Simplify right side
    2,247.83x = 11,580,262.78
  5. Step 5: Solve for x
    x = 11,580,262.78/2,247.83
  6. Step 6: Final answer
    x = 5,151.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.