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Finding the Third Proportional to 54,495.38 and 73,967.06

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Solution

The third proportional to 54,495.38 and 73,967.06 is: 100,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,495.38 : 73,967.06 = 73,967.06 : x
  2. Step 2: Convert to fraction form
    54,495.38/73,967.06 = 73,967.06/x
  3. Step 3: Cross multiply
    54,495.38x = 73,967.06 × 73,967.06
  4. Step 4: Simplify right side
    54,495.38x = 5,471,126,334.88
  5. Step 5: Solve for x
    x = 5,471,126,334.88/54,495.38
  6. Step 6: Final answer
    x = 100,396.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.