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Finding the Third Proportional to 6,355.97 and 13,923.14

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Solution

The third proportional to 6,355.97 and 13,923.14 is: 30,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.97 : 13,923.14 = 13,923.14 : x
  2. Step 2: Convert to fraction form
    6,355.97/13,923.14 = 13,923.14/x
  3. Step 3: Cross multiply
    6,355.97x = 13,923.14 × 13,923.14
  4. Step 4: Simplify right side
    6,355.97x = 193,853,844.86
  5. Step 5: Solve for x
    x = 193,853,844.86/6,355.97
  6. Step 6: Final answer
    x = 30,499.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.