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Finding the Third Proportional to 2,647.69 and 6,134.06

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Solution

The third proportional to 2,647.69 and 6,134.06 is: 14,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.69 : 6,134.06 = 6,134.06 : x
  2. Step 2: Convert to fraction form
    2,647.69/6,134.06 = 6,134.06/x
  3. Step 3: Cross multiply
    2,647.69x = 6,134.06 × 6,134.06
  4. Step 4: Simplify right side
    2,647.69x = 37,626,722.75
  5. Step 5: Solve for x
    x = 37,626,722.75/2,647.69
  6. Step 6: Final answer
    x = 14,211.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.