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Finding the Third Proportional to 10,777.50 and 17,232.75

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Solution

The third proportional to 10,777.50 and 17,232.75 is: 27,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.50 : 17,232.75 = 17,232.75 : x
  2. Step 2: Convert to fraction form
    10,777.50/17,232.75 = 17,232.75/x
  3. Step 3: Cross multiply
    10,777.50x = 17,232.75 × 17,232.75
  4. Step 4: Simplify right side
    10,777.50x = 296,967,672.56
  5. Step 5: Solve for x
    x = 296,967,672.56/10,777.50
  6. Step 6: Final answer
    x = 27,554.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.