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Finding the Third Proportional to 2,635.03 and 3,685.92

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Solution

The third proportional to 2,635.03 and 3,685.92 is: 5,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.03 : 3,685.92 = 3,685.92 : x
  2. Step 2: Convert to fraction form
    2,635.03/3,685.92 = 3,685.92/x
  3. Step 3: Cross multiply
    2,635.03x = 3,685.92 × 3,685.92
  4. Step 4: Simplify right side
    2,635.03x = 13,586,020.07
  5. Step 5: Solve for x
    x = 13,586,020.07/2,635.03
  6. Step 6: Final answer
    x = 5,155.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.