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Finding the Third Proportional to 37,982.04 and 81,346.15

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Solution

The third proportional to 37,982.04 and 81,346.15 is: 174,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,982.04 : 81,346.15 = 81,346.15 : x
  2. Step 2: Convert to fraction form
    37,982.04/81,346.15 = 81,346.15/x
  3. Step 3: Cross multiply
    37,982.04x = 81,346.15 × 81,346.15
  4. Step 4: Simplify right side
    37,982.04x = 6,617,195,865.62
  5. Step 5: Solve for x
    x = 6,617,195,865.62/37,982.04
  6. Step 6: Final answer
    x = 174,219.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.