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Finding the Third Proportional to 7,490.72 and 16,644.09

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Solution

The third proportional to 7,490.72 and 16,644.09 is: 36,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.72 : 16,644.09 = 16,644.09 : x
  2. Step 2: Convert to fraction form
    7,490.72/16,644.09 = 16,644.09/x
  3. Step 3: Cross multiply
    7,490.72x = 16,644.09 × 16,644.09
  4. Step 4: Simplify right side
    7,490.72x = 277,025,856.76
  5. Step 5: Solve for x
    x = 277,025,856.76/7,490.72
  6. Step 6: Final answer
    x = 36,982.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.