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Finding the Third Proportional to 11,103.84 and 14,671.27

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Solution

The third proportional to 11,103.84 and 14,671.27 is: 19,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.84 : 14,671.27 = 14,671.27 : x
  2. Step 2: Convert to fraction form
    11,103.84/14,671.27 = 14,671.27/x
  3. Step 3: Cross multiply
    11,103.84x = 14,671.27 × 14,671.27
  4. Step 4: Simplify right side
    11,103.84x = 215,246,035.04
  5. Step 5: Solve for x
    x = 215,246,035.04/11,103.84
  6. Step 6: Final answer
    x = 19,384.82

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.