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Finding the Third Proportional to 10,732.50 and 17,052.75

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Solution

The third proportional to 10,732.50 and 17,052.75 is: 27,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.50 : 17,052.75 = 17,052.75 : x
  2. Step 2: Convert to fraction form
    10,732.50/17,052.75 = 17,052.75/x
  3. Step 3: Cross multiply
    10,732.50x = 17,052.75 × 17,052.75
  4. Step 4: Simplify right side
    10,732.50x = 290,796,282.56
  5. Step 5: Solve for x
    x = 290,796,282.56/10,732.50
  6. Step 6: Final answer
    x = 27,094.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.