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Finding the Third Proportional to 1,932.75 and 4,173.38

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Solution

The third proportional to 1,932.75 and 4,173.38 is: 9,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.75 : 4,173.38 = 4,173.38 : x
  2. Step 2: Convert to fraction form
    1,932.75/4,173.38 = 4,173.38/x
  3. Step 3: Cross multiply
    1,932.75x = 4,173.38 × 4,173.38
  4. Step 4: Simplify right side
    1,932.75x = 17,417,058.89
  5. Step 5: Solve for x
    x = 17,417,058.89/1,932.75
  6. Step 6: Final answer
    x = 9,011.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.