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Finding the Third Proportional to 6,706.23 and 10,260.11

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Solution

The third proportional to 6,706.23 and 10,260.11 is: 15,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.23 : 10,260.11 = 10,260.11 : x
  2. Step 2: Convert to fraction form
    6,706.23/10,260.11 = 10,260.11/x
  3. Step 3: Cross multiply
    6,706.23x = 10,260.11 × 10,260.11
  4. Step 4: Simplify right side
    6,706.23x = 105,269,764.23
  5. Step 5: Solve for x
    x = 105,269,764.23/6,706.23
  6. Step 6: Final answer
    x = 15,697.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.