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Finding the Third Proportional to 46,033.31 and 67,538.81

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Solution

The third proportional to 46,033.31 and 67,538.81 is: 99,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,033.31 : 67,538.81 = 67,538.81 : x
  2. Step 2: Convert to fraction form
    46,033.31/67,538.81 = 67,538.81/x
  3. Step 3: Cross multiply
    46,033.31x = 67,538.81 × 67,538.81
  4. Step 4: Simplify right side
    46,033.31x = 4,561,491,193.91
  5. Step 5: Solve for x
    x = 4,561,491,193.91/46,033.31
  6. Step 6: Final answer
    x = 99,091.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.