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Finding the Third Proportional to 37,292.91 and 81,078.47

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Solution

The third proportional to 37,292.91 and 81,078.47 is: 176,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,292.91 : 81,078.47 = 81,078.47 : x
  2. Step 2: Convert to fraction form
    37,292.91/81,078.47 = 81,078.47/x
  3. Step 3: Cross multiply
    37,292.91x = 81,078.47 × 81,078.47
  4. Step 4: Simplify right side
    37,292.91x = 6,573,718,094.84
  5. Step 5: Solve for x
    x = 6,573,718,094.84/37,292.91
  6. Step 6: Final answer
    x = 176,272.61

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