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Finding the Third Proportional to 11,133.28 and 14,871.09

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Solution

The third proportional to 11,133.28 and 14,871.09 is: 19,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.28 : 14,871.09 = 14,871.09 : x
  2. Step 2: Convert to fraction form
    11,133.28/14,871.09 = 14,871.09/x
  3. Step 3: Cross multiply
    11,133.28x = 14,871.09 × 14,871.09
  4. Step 4: Simplify right side
    11,133.28x = 221,149,429.32
  5. Step 5: Solve for x
    x = 221,149,429.32/11,133.28
  6. Step 6: Final answer
    x = 19,863.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.