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Finding the Third Proportional to 3,024.21 and 4,499.30

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Solution

The third proportional to 3,024.21 and 4,499.30 is: 6,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.21 : 4,499.30 = 4,499.30 : x
  2. Step 2: Convert to fraction form
    3,024.21/4,499.30 = 4,499.30/x
  3. Step 3: Cross multiply
    3,024.21x = 4,499.30 × 4,499.30
  4. Step 4: Simplify right side
    3,024.21x = 20,243,672.37
  5. Step 5: Solve for x
    x = 20,243,672.37/3,024.21
  6. Step 6: Final answer
    x = 6,693.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.