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Finding the Third Proportional to 3,507.47 and 7,793.58

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Solution

The third proportional to 3,507.47 and 7,793.58 is: 17,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.47 : 7,793.58 = 7,793.58 : x
  2. Step 2: Convert to fraction form
    3,507.47/7,793.58 = 7,793.58/x
  3. Step 3: Cross multiply
    3,507.47x = 7,793.58 × 7,793.58
  4. Step 4: Simplify right side
    3,507.47x = 60,739,859.99
  5. Step 5: Solve for x
    x = 60,739,859.99/3,507.47
  6. Step 6: Final answer
    x = 17,317.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.