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Finding the Third Proportional to 6,634.69 and 10,356.19

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Solution

The third proportional to 6,634.69 and 10,356.19 is: 16,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.69 : 10,356.19 = 10,356.19 : x
  2. Step 2: Convert to fraction form
    6,634.69/10,356.19 = 10,356.19/x
  3. Step 3: Cross multiply
    6,634.69x = 10,356.19 × 10,356.19
  4. Step 4: Simplify right side
    6,634.69x = 107,250,619.54
  5. Step 5: Solve for x
    x = 107,250,619.54/6,634.69
  6. Step 6: Final answer
    x = 16,165.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.