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Finding the Third Proportional to 6,813.23 and 14,139.05

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Solution

The third proportional to 6,813.23 and 14,139.05 is: 29,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.23 : 14,139.05 = 14,139.05 : x
  2. Step 2: Convert to fraction form
    6,813.23/14,139.05 = 14,139.05/x
  3. Step 3: Cross multiply
    6,813.23x = 14,139.05 × 14,139.05
  4. Step 4: Simplify right side
    6,813.23x = 199,912,646.53
  5. Step 5: Solve for x
    x = 199,912,646.53/6,813.23
  6. Step 6: Final answer
    x = 29,341.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.