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Finding the Third Proportional to 2,152.83 and 3,454.21

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Solution

The third proportional to 2,152.83 and 3,454.21 is: 5,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.83 : 3,454.21 = 3,454.21 : x
  2. Step 2: Convert to fraction form
    2,152.83/3,454.21 = 3,454.21/x
  3. Step 3: Cross multiply
    2,152.83x = 3,454.21 × 3,454.21
  4. Step 4: Simplify right side
    2,152.83x = 11,931,546.21
  5. Step 5: Solve for x
    x = 11,931,546.21/2,152.83
  6. Step 6: Final answer
    x = 5,542.27

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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.