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Finding the Third Proportional to 11,590 and 17,439

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Solution

The third proportional to 11,590 and 17,439 is: 26,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590 : 17,439 = 17,439 : x
  2. Step 2: Convert to fraction form
    11,590/17,439 = 17,439/x
  3. Step 3: Cross multiply
    11,590x = 17,439 × 17,439
  4. Step 4: Simplify right side
    11,590x = 304,118,721
  5. Step 5: Solve for x
    x = 304,118,721/11,590
  6. Step 6: Final answer
    x = 26,239.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.