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Finding the Third Proportional to 4,074.05 and 6,035.13

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Solution

The third proportional to 4,074.05 and 6,035.13 is: 8,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.05 : 6,035.13 = 6,035.13 : x
  2. Step 2: Convert to fraction form
    4,074.05/6,035.13 = 6,035.13/x
  3. Step 3: Cross multiply
    4,074.05x = 6,035.13 × 6,035.13
  4. Step 4: Simplify right side
    4,074.05x = 36,422,828.06
  5. Step 5: Solve for x
    x = 36,422,828.06/4,074.05
  6. Step 6: Final answer
    x = 8,940.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.