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Finding the Third Proportional to 6,789.38 and 14,393.81

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Solution

The third proportional to 6,789.38 and 14,393.81 is: 30,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.38 : 14,393.81 = 14,393.81 : x
  2. Step 2: Convert to fraction form
    6,789.38/14,393.81 = 14,393.81/x
  3. Step 3: Cross multiply
    6,789.38x = 14,393.81 × 14,393.81
  4. Step 4: Simplify right side
    6,789.38x = 207,181,838.29
  5. Step 5: Solve for x
    x = 207,181,838.29/6,789.38
  6. Step 6: Final answer
    x = 30,515.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.