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Finding the Third Proportional to 4,418.09 and 5,806.90

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Solution

The third proportional to 4,418.09 and 5,806.90 is: 7,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418.09 : 5,806.90 = 5,806.90 : x
  2. Step 2: Convert to fraction form
    4,418.09/5,806.90 = 5,806.90/x
  3. Step 3: Cross multiply
    4,418.09x = 5,806.90 × 5,806.90
  4. Step 4: Simplify right side
    4,418.09x = 33,720,069.46
  5. Step 5: Solve for x
    x = 33,720,069.46/4,418.09
  6. Step 6: Final answer
    x = 7,632.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.