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Finding the Third Proportional to 37,612.88 and 81,971.44

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Solution

The third proportional to 37,612.88 and 81,971.44 is: 178,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,612.88 : 81,971.44 = 81,971.44 : x
  2. Step 2: Convert to fraction form
    37,612.88/81,971.44 = 81,971.44/x
  3. Step 3: Cross multiply
    37,612.88x = 81,971.44 × 81,971.44
  4. Step 4: Simplify right side
    37,612.88x = 6,719,316,565.82
  5. Step 5: Solve for x
    x = 6,719,316,565.82/37,612.88
  6. Step 6: Final answer
    x = 178,644.06

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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.