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Finding the Third Proportional to 2,395.41 and 5,078.53

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Solution

The third proportional to 2,395.41 and 5,078.53 is: 10,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.41 : 5,078.53 = 5,078.53 : x
  2. Step 2: Convert to fraction form
    2,395.41/5,078.53 = 5,078.53/x
  3. Step 3: Cross multiply
    2,395.41x = 5,078.53 × 5,078.53
  4. Step 4: Simplify right side
    2,395.41x = 25,791,479.66
  5. Step 5: Solve for x
    x = 25,791,479.66/2,395.41
  6. Step 6: Final answer
    x = 10,767.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.