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Finding the Third Proportional to 2,560.03 and 3,863.53

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Solution

The third proportional to 2,560.03 and 3,863.53 is: 5,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.03 : 3,863.53 = 3,863.53 : x
  2. Step 2: Convert to fraction form
    2,560.03/3,863.53 = 3,863.53/x
  3. Step 3: Cross multiply
    2,560.03x = 3,863.53 × 3,863.53
  4. Step 4: Simplify right side
    2,560.03x = 14,926,873.72
  5. Step 5: Solve for x
    x = 14,926,873.72/2,560.03
  6. Step 6: Final answer
    x = 5,830.74

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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.