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Finding the Third Proportional to 6,793.13 and 14,323.13

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Solution

The third proportional to 6,793.13 and 14,323.13 is: 30,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.13 : 14,323.13 = 14,323.13 : x
  2. Step 2: Convert to fraction form
    6,793.13/14,323.13 = 14,323.13/x
  3. Step 3: Cross multiply
    6,793.13x = 14,323.13 × 14,323.13
  4. Step 4: Simplify right side
    6,793.13x = 205,151,909.77
  5. Step 5: Solve for x
    x = 205,151,909.77/6,793.13
  6. Step 6: Final answer
    x = 30,199.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.