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Finding the Third Proportional to 11,492.50 and 18,439

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Solution

The third proportional to 11,492.50 and 18,439 is: 29,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.50 : 18,439 = 18,439 : x
  2. Step 2: Convert to fraction form
    11,492.50/18,439 = 18,439/x
  3. Step 3: Cross multiply
    11,492.50x = 18,439 × 18,439
  4. Step 4: Simplify right side
    11,492.50x = 339,996,721
  5. Step 5: Solve for x
    x = 339,996,721/11,492.50
  6. Step 6: Final answer
    x = 29,584.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.