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Finding the Third Proportional to 11,032.88 and 15,722.44

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Solution

The third proportional to 11,032.88 and 15,722.44 is: 22,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.88 : 15,722.44 = 15,722.44 : x
  2. Step 2: Convert to fraction form
    11,032.88/15,722.44 = 15,722.44/x
  3. Step 3: Cross multiply
    11,032.88x = 15,722.44 × 15,722.44
  4. Step 4: Simplify right side
    11,032.88x = 247,195,040.94
  5. Step 5: Solve for x
    x = 247,195,040.94/11,032.88
  6. Step 6: Final answer
    x = 22,405.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.