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Finding the Third Proportional to 13,595 and 19,145

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Solution

The third proportional to 13,595 and 19,145 is: 26,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,595 : 19,145 = 19,145 : x
  2. Step 2: Convert to fraction form
    13,595/19,145 = 19,145/x
  3. Step 3: Cross multiply
    13,595x = 19,145 × 19,145
  4. Step 4: Simplify right side
    13,595x = 366,531,025
  5. Step 5: Solve for x
    x = 366,531,025/13,595
  6. Step 6: Final answer
    x = 26,960.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.