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Finding the Third Proportional to 16,220 and 19,100

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Solution

The third proportional to 16,220 and 19,100 is: 22,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220 : 19,100 = 19,100 : x
  2. Step 2: Convert to fraction form
    16,220/19,100 = 19,100/x
  3. Step 3: Cross multiply
    16,220x = 19,100 × 19,100
  4. Step 4: Simplify right side
    16,220x = 364,810,000
  5. Step 5: Solve for x
    x = 364,810,000/16,220
  6. Step 6: Final answer
    x = 22,491.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.