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Finding the Third Proportional to 4,738.50 and 10,378.13

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Solution

The third proportional to 4,738.50 and 10,378.13 is: 22,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.50 : 10,378.13 = 10,378.13 : x
  2. Step 2: Convert to fraction form
    4,738.50/10,378.13 = 10,378.13/x
  3. Step 3: Cross multiply
    4,738.50x = 10,378.13 × 10,378.13
  4. Step 4: Simplify right side
    4,738.50x = 107,705,478.52
  5. Step 5: Solve for x
    x = 107,705,478.52/4,738.50
  6. Step 6: Final answer
    x = 22,729.87

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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.