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Finding the Third Proportional to 6,787.13 and 12,801.38

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Solution

The third proportional to 6,787.13 and 12,801.38 is: 24,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.13 : 12,801.38 = 12,801.38 : x
  2. Step 2: Convert to fraction form
    6,787.13/12,801.38 = 12,801.38/x
  3. Step 3: Cross multiply
    6,787.13x = 12,801.38 × 12,801.38
  4. Step 4: Simplify right side
    6,787.13x = 163,875,201.89
  5. Step 5: Solve for x
    x = 163,875,201.89/6,787.13
  6. Step 6: Final answer
    x = 24,145.01

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.