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Finding the Third Proportional to 6,078.75 and 13,345.13

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Solution

The third proportional to 6,078.75 and 13,345.13 is: 29,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.75 : 13,345.13 = 13,345.13 : x
  2. Step 2: Convert to fraction form
    6,078.75/13,345.13 = 13,345.13/x
  3. Step 3: Cross multiply
    6,078.75x = 13,345.13 × 13,345.13
  4. Step 4: Simplify right side
    6,078.75x = 178,092,361.27
  5. Step 5: Solve for x
    x = 178,092,361.27/6,078.75
  6. Step 6: Final answer
    x = 29,297.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.