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Finding the Third Proportional to 6,511.22 and 13,964.06

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Solution

The third proportional to 6,511.22 and 13,964.06 is: 29,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.22 : 13,964.06 = 13,964.06 : x
  2. Step 2: Convert to fraction form
    6,511.22/13,964.06 = 13,964.06/x
  3. Step 3: Cross multiply
    6,511.22x = 13,964.06 × 13,964.06
  4. Step 4: Simplify right side
    6,511.22x = 194,995,041.50
  5. Step 5: Solve for x
    x = 194,995,041.50/6,511.22
  6. Step 6: Final answer
    x = 29,947.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.