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Finding the Third Proportional to 3,709.13 and 5,657.25

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Solution

The third proportional to 3,709.13 and 5,657.25 is: 8,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.13 : 5,657.25 = 5,657.25 : x
  2. Step 2: Convert to fraction form
    3,709.13/5,657.25 = 5,657.25/x
  3. Step 3: Cross multiply
    3,709.13x = 5,657.25 × 5,657.25
  4. Step 4: Simplify right side
    3,709.13x = 32,004,477.56
  5. Step 5: Solve for x
    x = 32,004,477.56/3,709.13
  6. Step 6: Final answer
    x = 8,628.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.