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Finding the Third Proportional to 11,133.75 and 17,753.63

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Solution

The third proportional to 11,133.75 and 17,753.63 is: 28,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.75 : 17,753.63 = 17,753.63 : x
  2. Step 2: Convert to fraction form
    11,133.75/17,753.63 = 17,753.63/x
  3. Step 3: Cross multiply
    11,133.75x = 17,753.63 × 17,753.63
  4. Step 4: Simplify right side
    11,133.75x = 315,191,200.64
  5. Step 5: Solve for x
    x = 315,191,200.64/11,133.75
  6. Step 6: Final answer
    x = 28,309.53

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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.