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Finding the Third Proportional to 2,227.64 and 3,503.74

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Solution

The third proportional to 2,227.64 and 3,503.74 is: 5,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.64 : 3,503.74 = 3,503.74 : x
  2. Step 2: Convert to fraction form
    2,227.64/3,503.74 = 3,503.74/x
  3. Step 3: Cross multiply
    2,227.64x = 3,503.74 × 3,503.74
  4. Step 4: Simplify right side
    2,227.64x = 12,276,209.32
  5. Step 5: Solve for x
    x = 12,276,209.32/2,227.64
  6. Step 6: Final answer
    x = 5,510.86

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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.