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Finding the Third Proportional to 34,498.25 and 51,918.50

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Solution

The third proportional to 34,498.25 and 51,918.50 is: 78,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,498.25 : 51,918.50 = 51,918.50 : x
  2. Step 2: Convert to fraction form
    34,498.25/51,918.50 = 51,918.50/x
  3. Step 3: Cross multiply
    34,498.25x = 51,918.50 × 51,918.50
  4. Step 4: Simplify right side
    34,498.25x = 2,695,530,642.25
  5. Step 5: Solve for x
    x = 2,695,530,642.25/34,498.25
  6. Step 6: Final answer
    x = 78,135.29

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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.