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Finding the Third Proportional to 2,999.38 and 4,499.63

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Solution

The third proportional to 2,999.38 and 4,499.63 is: 6,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.38 : 4,499.63 = 4,499.63 : x
  2. Step 2: Convert to fraction form
    2,999.38/4,499.63 = 4,499.63/x
  3. Step 3: Cross multiply
    2,999.38x = 4,499.63 × 4,499.63
  4. Step 4: Simplify right side
    2,999.38x = 20,246,625.14
  5. Step 5: Solve for x
    x = 20,246,625.14/2,999.38
  6. Step 6: Final answer
    x = 6,750.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.