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Finding the Third Proportional to 16,102 and 22,803

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Solution

The third proportional to 16,102 and 22,803 is: 32,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102 : 22,803 = 22,803 : x
  2. Step 2: Convert to fraction form
    16,102/22,803 = 22,803/x
  3. Step 3: Cross multiply
    16,102x = 22,803 × 22,803
  4. Step 4: Simplify right side
    16,102x = 519,976,809
  5. Step 5: Solve for x
    x = 519,976,809/16,102
  6. Step 6: Final answer
    x = 32,292.68

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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.