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Finding the Third Proportional to 16,497 and 22,133.25

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Solution

The third proportional to 16,497 and 22,133.25 is: 29,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497 : 22,133.25 = 22,133.25 : x
  2. Step 2: Convert to fraction form
    16,497/22,133.25 = 22,133.25/x
  3. Step 3: Cross multiply
    16,497x = 22,133.25 × 22,133.25
  4. Step 4: Simplify right side
    16,497x = 489,880,755.56
  5. Step 5: Solve for x
    x = 489,880,755.56/16,497
  6. Step 6: Final answer
    x = 29,695.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.