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Finding the Third Proportional to 3,530.81 and 7,530.19

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Solution

The third proportional to 3,530.81 and 7,530.19 is: 16,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.81 : 7,530.19 = 7,530.19 : x
  2. Step 2: Convert to fraction form
    3,530.81/7,530.19 = 7,530.19/x
  3. Step 3: Cross multiply
    3,530.81x = 7,530.19 × 7,530.19
  4. Step 4: Simplify right side
    3,530.81x = 56,703,723.79
  5. Step 5: Solve for x
    x = 56,703,723.79/3,530.81
  6. Step 6: Final answer
    x = 16,059.68

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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.