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Finding the Third Proportional to 37,008.14 and 54,012.92

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Solution

The third proportional to 37,008.14 and 54,012.92 is: 78,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,008.14 : 54,012.92 = 54,012.92 : x
  2. Step 2: Convert to fraction form
    37,008.14/54,012.92 = 54,012.92/x
  3. Step 3: Cross multiply
    37,008.14x = 54,012.92 × 54,012.92
  4. Step 4: Simplify right side
    37,008.14x = 2,917,395,518.49
  5. Step 5: Solve for x
    x = 2,917,395,518.49/37,008.14
  6. Step 6: Final answer
    x = 78,831.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.