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Finding the Third Proportional to 16,512 and 23,530

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Solution

The third proportional to 16,512 and 23,530 is: 33,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512 : 23,530 = 23,530 : x
  2. Step 2: Convert to fraction form
    16,512/23,530 = 23,530/x
  3. Step 3: Cross multiply
    16,512x = 23,530 × 23,530
  4. Step 4: Simplify right side
    16,512x = 553,660,900
  5. Step 5: Solve for x
    x = 553,660,900/16,512
  6. Step 6: Final answer
    x = 33,530.82

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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.