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Finding the Third Proportional to 17,760.75 and 27,208.50

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Solution

The third proportional to 17,760.75 and 27,208.50 is: 41,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.75 : 27,208.50 = 27,208.50 : x
  2. Step 2: Convert to fraction form
    17,760.75/27,208.50 = 27,208.50/x
  3. Step 3: Cross multiply
    17,760.75x = 27,208.50 × 27,208.50
  4. Step 4: Simplify right side
    17,760.75x = 740,302,472.25
  5. Step 5: Solve for x
    x = 740,302,472.25/17,760.75
  6. Step 6: Final answer
    x = 41,681.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.