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Finding the Third Proportional to 22,200.75 and 28,836

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Solution

The third proportional to 22,200.75 and 28,836 is: 37,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.75 : 28,836 = 28,836 : x
  2. Step 2: Convert to fraction form
    22,200.75/28,836 = 28,836/x
  3. Step 3: Cross multiply
    22,200.75x = 28,836 × 28,836
  4. Step 4: Simplify right side
    22,200.75x = 831,514,896
  5. Step 5: Solve for x
    x = 831,514,896/22,200.75
  6. Step 6: Final answer
    x = 37,454.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.