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Finding the Third Proportional to 3,530.11 and 7,529.34

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Solution

The third proportional to 3,530.11 and 7,529.34 is: 16,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.11 : 7,529.34 = 7,529.34 : x
  2. Step 2: Convert to fraction form
    3,530.11/7,529.34 = 7,529.34/x
  3. Step 3: Cross multiply
    3,530.11x = 7,529.34 × 7,529.34
  4. Step 4: Simplify right side
    3,530.11x = 56,691,017.31
  5. Step 5: Solve for x
    x = 56,691,017.31/3,530.11
  6. Step 6: Final answer
    x = 16,059.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.