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Finding the Third Proportional to 11,215 and 17,594

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Solution

The third proportional to 11,215 and 17,594 is: 27,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215 : 17,594 = 17,594 : x
  2. Step 2: Convert to fraction form
    11,215/17,594 = 17,594/x
  3. Step 3: Cross multiply
    11,215x = 17,594 × 17,594
  4. Step 4: Simplify right side
    11,215x = 309,548,836
  5. Step 5: Solve for x
    x = 309,548,836/11,215
  6. Step 6: Final answer
    x = 27,601.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.