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Finding the Third Proportional to 16,764 and 22,362

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Solution

The third proportional to 16,764 and 22,362 is: 29,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764 : 22,362 = 22,362 : x
  2. Step 2: Convert to fraction form
    16,764/22,362 = 22,362/x
  3. Step 3: Cross multiply
    16,764x = 22,362 × 22,362
  4. Step 4: Simplify right side
    16,764x = 500,059,044
  5. Step 5: Solve for x
    x = 500,059,044/16,764
  6. Step 6: Final answer
    x = 29,829.34

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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.