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Finding the Third Proportional to 16,220 and 37,282

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Solution

The third proportional to 16,220 and 37,282 is: 85,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220 : 37,282 = 37,282 : x
  2. Step 2: Convert to fraction form
    16,220/37,282 = 37,282/x
  3. Step 3: Cross multiply
    16,220x = 37,282 × 37,282
  4. Step 4: Simplify right side
    16,220x = 1,389,947,524
  5. Step 5: Solve for x
    x = 1,389,947,524/16,220
  6. Step 6: Final answer
    x = 85,693.44

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.