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Finding the Third Proportional to 3,263.56 and 6,899.19

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Solution

The third proportional to 3,263.56 and 6,899.19 is: 14,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.56 : 6,899.19 = 6,899.19 : x
  2. Step 2: Convert to fraction form
    3,263.56/6,899.19 = 6,899.19/x
  3. Step 3: Cross multiply
    3,263.56x = 6,899.19 × 6,899.19
  4. Step 4: Simplify right side
    3,263.56x = 47,598,788.16
  5. Step 5: Solve for x
    x = 47,598,788.16/3,263.56
  6. Step 6: Final answer
    x = 14,584.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.