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Finding the Third Proportional to 13,174.13 and 15,361.13

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Solution

The third proportional to 13,174.13 and 15,361.13 is: 17,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.13 : 15,361.13 = 15,361.13 : x
  2. Step 2: Convert to fraction form
    13,174.13/15,361.13 = 15,361.13/x
  3. Step 3: Cross multiply
    13,174.13x = 15,361.13 × 15,361.13
  4. Step 4: Simplify right side
    13,174.13x = 235,964,161.27
  5. Step 5: Solve for x
    x = 235,964,161.27/13,174.13
  6. Step 6: Final answer
    x = 17,911.18

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.