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Finding the Third Proportional to 7,669.69 and 15,346.97

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Solution

The third proportional to 7,669.69 and 15,346.97 is: 30,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 15,346.97 = 15,346.97 : x
  2. Step 2: Convert to fraction form
    7,669.69/15,346.97 = 15,346.97/x
  3. Step 3: Cross multiply
    7,669.69x = 15,346.97 × 15,346.97
  4. Step 4: Simplify right side
    7,669.69x = 235,529,449.81
  5. Step 5: Solve for x
    x = 235,529,449.81/7,669.69
  6. Step 6: Final answer
    x = 30,709.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.