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Finding the Third Proportional to 6,878.25 and 10,383.19

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Solution

The third proportional to 6,878.25 and 10,383.19 is: 15,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.25 : 10,383.19 = 10,383.19 : x
  2. Step 2: Convert to fraction form
    6,878.25/10,383.19 = 10,383.19/x
  3. Step 3: Cross multiply
    6,878.25x = 10,383.19 × 10,383.19
  4. Step 4: Simplify right side
    6,878.25x = 107,810,582.66
  5. Step 5: Solve for x
    x = 107,810,582.66/6,878.25
  6. Step 6: Final answer
    x = 15,674.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.