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Finding the Third Proportional to 6,855.84 and 14,836.13

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Solution

The third proportional to 6,855.84 and 14,836.13 is: 32,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.84 : 14,836.13 = 14,836.13 : x
  2. Step 2: Convert to fraction form
    6,855.84/14,836.13 = 14,836.13/x
  3. Step 3: Cross multiply
    6,855.84x = 14,836.13 × 14,836.13
  4. Step 4: Simplify right side
    6,855.84x = 220,110,605.02
  5. Step 5: Solve for x
    x = 220,110,605.02/6,855.84
  6. Step 6: Final answer
    x = 32,105.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.