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Finding the Third Proportional to 10,411.03 and 18,361.69

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Solution

The third proportional to 10,411.03 and 18,361.69 is: 32,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.03 : 18,361.69 = 18,361.69 : x
  2. Step 2: Convert to fraction form
    10,411.03/18,361.69 = 18,361.69/x
  3. Step 3: Cross multiply
    10,411.03x = 18,361.69 × 18,361.69
  4. Step 4: Simplify right side
    10,411.03x = 337,151,567.85
  5. Step 5: Solve for x
    x = 337,151,567.85/10,411.03
  6. Step 6: Final answer
    x = 32,384.07

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.