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Finding the Third Proportional to 37,962.56 and 81,756.56

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Solution

The third proportional to 37,962.56 and 81,756.56 is: 176,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,962.56 : 81,756.56 = 81,756.56 : x
  2. Step 2: Convert to fraction form
    37,962.56/81,756.56 = 81,756.56/x
  3. Step 3: Cross multiply
    37,962.56x = 81,756.56 × 81,756.56
  4. Step 4: Simplify right side
    37,962.56x = 6,684,135,511.82
  5. Step 5: Solve for x
    x = 6,684,135,511.82/37,962.56
  6. Step 6: Final answer
    x = 176,071.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.