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Finding the Third Proportional to 13,599 and 19,932.75

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Solution

The third proportional to 13,599 and 19,932.75 is: 29,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599 : 19,932.75 = 19,932.75 : x
  2. Step 2: Convert to fraction form
    13,599/19,932.75 = 19,932.75/x
  3. Step 3: Cross multiply
    13,599x = 19,932.75 × 19,932.75
  4. Step 4: Simplify right side
    13,599x = 397,314,522.56
  5. Step 5: Solve for x
    x = 397,314,522.56/13,599
  6. Step 6: Final answer
    x = 29,216.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.