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Finding the Third Proportional to 6,787.13 and 18,370.13

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Solution

The third proportional to 6,787.13 and 18,370.13 is: 49,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.13 : 18,370.13 = 18,370.13 : x
  2. Step 2: Convert to fraction form
    6,787.13/18,370.13 = 18,370.13/x
  3. Step 3: Cross multiply
    6,787.13x = 18,370.13 × 18,370.13
  4. Step 4: Simplify right side
    6,787.13x = 337,461,492.52
  5. Step 5: Solve for x
    x = 337,461,492.52/6,787.13
  6. Step 6: Final answer
    x = 49,720.83

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.