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Finding the Third Proportional to 2,029.99 and 4,447.90

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Solution

The third proportional to 2,029.99 and 4,447.90 is: 9,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.99 : 4,447.90 = 4,447.90 : x
  2. Step 2: Convert to fraction form
    2,029.99/4,447.90 = 4,447.90/x
  3. Step 3: Cross multiply
    2,029.99x = 4,447.90 × 4,447.90
  4. Step 4: Simplify right side
    2,029.99x = 19,783,800.51
  5. Step 5: Solve for x
    x = 19,783,800.51/2,029.99
  6. Step 6: Final answer
    x = 9,745.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.