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Finding the Third Proportional to 4,247.02 and 9,042.05

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Solution

The third proportional to 4,247.02 and 9,042.05 is: 19,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.02 : 9,042.05 = 9,042.05 : x
  2. Step 2: Convert to fraction form
    4,247.02/9,042.05 = 9,042.05/x
  3. Step 3: Cross multiply
    4,247.02x = 9,042.05 × 9,042.05
  4. Step 4: Simplify right side
    4,247.02x = 81,758,611.69
  5. Step 5: Solve for x
    x = 81,758,611.69/4,247.02
  6. Step 6: Final answer
    x = 19,250.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.