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Finding the Third Proportional to 6,107.91 and 11,223.56

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Solution

The third proportional to 6,107.91 and 11,223.56 is: 20,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.91 : 11,223.56 = 11,223.56 : x
  2. Step 2: Convert to fraction form
    6,107.91/11,223.56 = 11,223.56/x
  3. Step 3: Cross multiply
    6,107.91x = 11,223.56 × 11,223.56
  4. Step 4: Simplify right side
    6,107.91x = 125,968,355.19
  5. Step 5: Solve for x
    x = 125,968,355.19/6,107.91
  6. Step 6: Final answer
    x = 20,623.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.