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Finding the Third Proportional to 5,145.69 and 10,695.19

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Solution

The third proportional to 5,145.69 and 10,695.19 is: 22,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.69 : 10,695.19 = 10,695.19 : x
  2. Step 2: Convert to fraction form
    5,145.69/10,695.19 = 10,695.19/x
  3. Step 3: Cross multiply
    5,145.69x = 10,695.19 × 10,695.19
  4. Step 4: Simplify right side
    5,145.69x = 114,387,035.66
  5. Step 5: Solve for x
    x = 114,387,035.66/5,145.69
  6. Step 6: Final answer
    x = 22,229.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.