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Finding the Third Proportional to 16,900 and 22,428

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Solution

The third proportional to 16,900 and 22,428 is: 29,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900 : 22,428 = 22,428 : x
  2. Step 2: Convert to fraction form
    16,900/22,428 = 22,428/x
  3. Step 3: Cross multiply
    16,900x = 22,428 × 22,428
  4. Step 4: Simplify right side
    16,900x = 503,015,184
  5. Step 5: Solve for x
    x = 503,015,184/16,900
  6. Step 6: Final answer
    x = 29,764.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.