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Finding the Third Proportional to 37,539.50 and 81,613

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Solution

The third proportional to 37,539.50 and 81,613 is: 177,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,539.50 : 81,613 = 81,613 : x
  2. Step 2: Convert to fraction form
    37,539.50/81,613 = 81,613/x
  3. Step 3: Cross multiply
    37,539.50x = 81,613 × 81,613
  4. Step 4: Simplify right side
    37,539.50x = 6,660,681,769
  5. Step 5: Solve for x
    x = 6,660,681,769/37,539.50
  6. Step 6: Final answer
    x = 177,431.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.