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Finding the Third Proportional to 9,505.69 and 10,508.06

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Solution

The third proportional to 9,505.69 and 10,508.06 is: 11,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.69 : 10,508.06 = 10,508.06 : x
  2. Step 2: Convert to fraction form
    9,505.69/10,508.06 = 10,508.06/x
  3. Step 3: Cross multiply
    9,505.69x = 10,508.06 × 10,508.06
  4. Step 4: Simplify right side
    9,505.69x = 110,419,377.50
  5. Step 5: Solve for x
    x = 110,419,377.50/9,505.69
  6. Step 6: Final answer
    x = 11,616.14

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.