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Finding the Third Proportional to 17,509.50 and 37,479

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Solution

The third proportional to 17,509.50 and 37,479 is: 80,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.50 : 37,479 = 37,479 : x
  2. Step 2: Convert to fraction form
    17,509.50/37,479 = 37,479/x
  3. Step 3: Cross multiply
    17,509.50x = 37,479 × 37,479
  4. Step 4: Simplify right side
    17,509.50x = 1,404,675,441
  5. Step 5: Solve for x
    x = 1,404,675,441/17,509.50
  6. Step 6: Final answer
    x = 80,223.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.