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Finding the Third Proportional to 4,114.13 and 5,624.44

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Solution

The third proportional to 4,114.13 and 5,624.44 is: 7,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.13 : 5,624.44 = 5,624.44 : x
  2. Step 2: Convert to fraction form
    4,114.13/5,624.44 = 5,624.44/x
  3. Step 3: Cross multiply
    4,114.13x = 5,624.44 × 5,624.44
  4. Step 4: Simplify right side
    4,114.13x = 31,634,297.19
  5. Step 5: Solve for x
    x = 31,634,297.19/4,114.13
  6. Step 6: Final answer
    x = 7,689.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.