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Finding the Third Proportional to 6,086.13 and 12,787.19

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Solution

The third proportional to 6,086.13 and 12,787.19 is: 26,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.13 : 12,787.19 = 12,787.19 : x
  2. Step 2: Convert to fraction form
    6,086.13/12,787.19 = 12,787.19/x
  3. Step 3: Cross multiply
    6,086.13x = 12,787.19 × 12,787.19
  4. Step 4: Simplify right side
    6,086.13x = 163,512,164.16
  5. Step 5: Solve for x
    x = 163,512,164.16/6,086.13
  6. Step 6: Final answer
    x = 26,866.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.