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Finding the Third Proportional to 4,225.92 and 9,738.98

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Solution

The third proportional to 4,225.92 and 9,738.98 is: 22,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.92 : 9,738.98 = 9,738.98 : x
  2. Step 2: Convert to fraction form
    4,225.92/9,738.98 = 9,738.98/x
  3. Step 3: Cross multiply
    4,225.92x = 9,738.98 × 9,738.98
  4. Step 4: Simplify right side
    4,225.92x = 94,847,816.66
  5. Step 5: Solve for x
    x = 94,847,816.66/4,225.92
  6. Step 6: Final answer
    x = 22,444.29

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.