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Finding the Third Proportional to 12,411.38 and 17,361.56

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Solution

The third proportional to 12,411.38 and 17,361.56 is: 24,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.38 : 17,361.56 = 17,361.56 : x
  2. Step 2: Convert to fraction form
    12,411.38/17,361.56 = 17,361.56/x
  3. Step 3: Cross multiply
    12,411.38x = 17,361.56 × 17,361.56
  4. Step 4: Simplify right side
    12,411.38x = 301,423,852.44
  5. Step 5: Solve for x
    x = 301,423,852.44/12,411.38
  6. Step 6: Final answer
    x = 24,286.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.