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Finding the Third Proportional to 37,866.94 and 79,651.13

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Solution

The third proportional to 37,866.94 and 79,651.13 is: 167,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866.94 : 79,651.13 = 79,651.13 : x
  2. Step 2: Convert to fraction form
    37,866.94/79,651.13 = 79,651.13/x
  3. Step 3: Cross multiply
    37,866.94x = 79,651.13 × 79,651.13
  4. Step 4: Simplify right side
    37,866.94x = 6,344,301,713.77
  5. Step 5: Solve for x
    x = 6,344,301,713.77/37,866.94
  6. Step 6: Final answer
    x = 167,541.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.