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Finding the Third Proportional to 5,239.55 and 7,927.03

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Solution

The third proportional to 5,239.55 and 7,927.03 is: 11,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.55 : 7,927.03 = 7,927.03 : x
  2. Step 2: Convert to fraction form
    5,239.55/7,927.03 = 7,927.03/x
  3. Step 3: Cross multiply
    5,239.55x = 7,927.03 × 7,927.03
  4. Step 4: Simplify right side
    5,239.55x = 62,837,824.44
  5. Step 5: Solve for x
    x = 62,837,824.44/5,239.55
  6. Step 6: Final answer
    x = 11,992.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.