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Finding the Third Proportional to 15,897.75 and 34,529.25

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Solution

The third proportional to 15,897.75 and 34,529.25 is: 74,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.75 : 34,529.25 = 34,529.25 : x
  2. Step 2: Convert to fraction form
    15,897.75/34,529.25 = 34,529.25/x
  3. Step 3: Cross multiply
    15,897.75x = 34,529.25 × 34,529.25
  4. Step 4: Simplify right side
    15,897.75x = 1,192,269,105.56
  5. Step 5: Solve for x
    x = 1,192,269,105.56/15,897.75
  6. Step 6: Final answer
    x = 74,996.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.