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Finding the Third Proportional to 2,647.13 and 4,369.22

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Solution

The third proportional to 2,647.13 and 4,369.22 is: 7,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.13 : 4,369.22 = 4,369.22 : x
  2. Step 2: Convert to fraction form
    2,647.13/4,369.22 = 4,369.22/x
  3. Step 3: Cross multiply
    2,647.13x = 4,369.22 × 4,369.22
  4. Step 4: Simplify right side
    2,647.13x = 19,090,072.49
  5. Step 5: Solve for x
    x = 19,090,072.49/2,647.13
  6. Step 6: Final answer
    x = 7,211.62

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.