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Finding the Third Proportional to 6,890.91 and 9,225.56

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Solution

The third proportional to 6,890.91 and 9,225.56 is: 12,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.91 : 9,225.56 = 9,225.56 : x
  2. Step 2: Convert to fraction form
    6,890.91/9,225.56 = 9,225.56/x
  3. Step 3: Cross multiply
    6,890.91x = 9,225.56 × 9,225.56
  4. Step 4: Simplify right side
    6,890.91x = 85,111,003.44
  5. Step 5: Solve for x
    x = 85,111,003.44/6,890.91
  6. Step 6: Final answer
    x = 12,351.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.