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Finding the Third Proportional to 37,462.50 and 81,828

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Solution

The third proportional to 37,462.50 and 81,828 is: 178,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,462.50 : 81,828 = 81,828 : x
  2. Step 2: Convert to fraction form
    37,462.50/81,828 = 81,828/x
  3. Step 3: Cross multiply
    37,462.50x = 81,828 × 81,828
  4. Step 4: Simplify right side
    37,462.50x = 6,695,821,584
  5. Step 5: Solve for x
    x = 6,695,821,584/37,462.50
  6. Step 6: Final answer
    x = 178,733.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.