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Finding the Third Proportional to 16,200 and 23,112

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Solution

The third proportional to 16,200 and 23,112 is: 32,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200 : 23,112 = 23,112 : x
  2. Step 2: Convert to fraction form
    16,200/23,112 = 23,112/x
  3. Step 3: Cross multiply
    16,200x = 23,112 × 23,112
  4. Step 4: Simplify right side
    16,200x = 534,164,544
  5. Step 5: Solve for x
    x = 534,164,544/16,200
  6. Step 6: Final answer
    x = 32,973.12

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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.