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Finding the Third Proportional to 5,944.50 and 12,551.91

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Solution

The third proportional to 5,944.50 and 12,551.91 is: 26,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.50 : 12,551.91 = 12,551.91 : x
  2. Step 2: Convert to fraction form
    5,944.50/12,551.91 = 12,551.91/x
  3. Step 3: Cross multiply
    5,944.50x = 12,551.91 × 12,551.91
  4. Step 4: Simplify right side
    5,944.50x = 157,550,350.51
  5. Step 5: Solve for x
    x = 157,550,350.51/5,944.50
  6. Step 6: Final answer
    x = 26,503.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.