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Finding the Third Proportional to 5,561.47 and 8,944.49

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Solution

The third proportional to 5,561.47 and 8,944.49 is: 14,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.47 : 8,944.49 = 8,944.49 : x
  2. Step 2: Convert to fraction form
    5,561.47/8,944.49 = 8,944.49/x
  3. Step 3: Cross multiply
    5,561.47x = 8,944.49 × 8,944.49
  4. Step 4: Simplify right side
    5,561.47x = 80,003,870.61
  5. Step 5: Solve for x
    x = 80,003,870.61/5,561.47
  6. Step 6: Final answer
    x = 14,385.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.