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Finding the Third Proportional to 11,327.72 and 16,657.45

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Solution

The third proportional to 11,327.72 and 16,657.45 is: 24,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.72 : 16,657.45 = 16,657.45 : x
  2. Step 2: Convert to fraction form
    11,327.72/16,657.45 = 16,657.45/x
  3. Step 3: Cross multiply
    11,327.72x = 16,657.45 × 16,657.45
  4. Step 4: Simplify right side
    11,327.72x = 277,470,744.61
  5. Step 5: Solve for x
    x = 277,470,744.61/11,327.72
  6. Step 6: Final answer
    x = 24,494.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.