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Finding the Third Proportional to 3,476.81 and 7,500.19

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Solution

The third proportional to 3,476.81 and 7,500.19 is: 16,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.81 : 7,500.19 = 7,500.19 : x
  2. Step 2: Convert to fraction form
    3,476.81/7,500.19 = 7,500.19/x
  3. Step 3: Cross multiply
    3,476.81x = 7,500.19 × 7,500.19
  4. Step 4: Simplify right side
    3,476.81x = 56,252,812.54
  5. Step 5: Solve for x
    x = 56,252,812.54/3,476.81
  6. Step 6: Final answer
    x = 16,179.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.