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Finding the Third Proportional to 37,444.50 and 81,501.19

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Solution

The third proportional to 37,444.50 and 81,501.19 is: 177,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,444.50 : 81,501.19 = 81,501.19 : x
  2. Step 2: Convert to fraction form
    37,444.50/81,501.19 = 81,501.19/x
  3. Step 3: Cross multiply
    37,444.50x = 81,501.19 × 81,501.19
  4. Step 4: Simplify right side
    37,444.50x = 6,642,443,563.91
  5. Step 5: Solve for x
    x = 6,642,443,563.91/37,444.50
  6. Step 6: Final answer
    x = 177,394.37

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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.