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Finding the Third Proportional to 16,344 and 23,220

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Solution

The third proportional to 16,344 and 23,220 is: 32,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344 : 23,220 = 23,220 : x
  2. Step 2: Convert to fraction form
    16,344/23,220 = 23,220/x
  3. Step 3: Cross multiply
    16,344x = 23,220 × 23,220
  4. Step 4: Simplify right side
    16,344x = 539,168,400
  5. Step 5: Solve for x
    x = 539,168,400/16,344
  6. Step 6: Final answer
    x = 32,988.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.