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Finding the Third Proportional to 3,738.66 and 8,891.02

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Solution

The third proportional to 3,738.66 and 8,891.02 is: 21,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.66 : 8,891.02 = 8,891.02 : x
  2. Step 2: Convert to fraction form
    3,738.66/8,891.02 = 8,891.02/x
  3. Step 3: Cross multiply
    3,738.66x = 8,891.02 × 8,891.02
  4. Step 4: Simplify right side
    3,738.66x = 79,050,158.84
  5. Step 5: Solve for x
    x = 79,050,158.84/3,738.66
  6. Step 6: Final answer
    x = 21,144.00

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.