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Finding the Third Proportional to 37,663.13 and 82,053.75

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Solution

The third proportional to 37,663.13 and 82,053.75 is: 178,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,663.13 : 82,053.75 = 82,053.75 : x
  2. Step 2: Convert to fraction form
    37,663.13/82,053.75 = 82,053.75/x
  3. Step 3: Cross multiply
    37,663.13x = 82,053.75 × 82,053.75
  4. Step 4: Simplify right side
    37,663.13x = 6,732,817,889.06
  5. Step 5: Solve for x
    x = 6,732,817,889.06/37,663.13
  6. Step 6: Final answer
    x = 178,764.19

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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.