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Finding the Third Proportional to 34,194.66 and 51,155.30

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Solution

The third proportional to 34,194.66 and 51,155.30 is: 76,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194.66 : 51,155.30 = 51,155.30 : x
  2. Step 2: Convert to fraction form
    34,194.66/51,155.30 = 51,155.30/x
  3. Step 3: Cross multiply
    34,194.66x = 51,155.30 × 51,155.30
  4. Step 4: Simplify right side
    34,194.66x = 2,616,864,398.37
  5. Step 5: Solve for x
    x = 2,616,864,398.37/34,194.66
  6. Step 6: Final answer
    x = 76,528.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.