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Finding the Third Proportional to 20,444.50 and 29,993.63

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Solution

The third proportional to 20,444.50 and 29,993.63 is: 44,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,444.50 : 29,993.63 = 29,993.63 : x
  2. Step 2: Convert to fraction form
    20,444.50/29,993.63 = 29,993.63/x
  3. Step 3: Cross multiply
    20,444.50x = 29,993.63 × 29,993.63
  4. Step 4: Simplify right side
    20,444.50x = 899,617,540.64
  5. Step 5: Solve for x
    x = 899,617,540.64/20,444.50
  6. Step 6: Final answer
    x = 44,002.91

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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.