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Finding the Third Proportional to 34,109 and 52,620.50

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Solution

The third proportional to 34,109 and 52,620.50 is: 81,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,109 : 52,620.50 = 52,620.50 : x
  2. Step 2: Convert to fraction form
    34,109/52,620.50 = 52,620.50/x
  3. Step 3: Cross multiply
    34,109x = 52,620.50 × 52,620.50
  4. Step 4: Simplify right side
    34,109x = 2,768,917,020.25
  5. Step 5: Solve for x
    x = 2,768,917,020.25/34,109
  6. Step 6: Final answer
    x = 81,178.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.