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Finding the Third Proportional to 13,203.84 and 17,983.27

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Solution

The third proportional to 13,203.84 and 17,983.27 is: 24,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.84 : 17,983.27 = 17,983.27 : x
  2. Step 2: Convert to fraction form
    13,203.84/17,983.27 = 17,983.27/x
  3. Step 3: Cross multiply
    13,203.84x = 17,983.27 × 17,983.27
  4. Step 4: Simplify right side
    13,203.84x = 323,397,842.54
  5. Step 5: Solve for x
    x = 323,397,842.54/13,203.84
  6. Step 6: Final answer
    x = 24,492.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.