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Finding the Third Proportional to 4,296 and 6,041.25

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Solution

The third proportional to 4,296 and 6,041.25 is: 8,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296 : 6,041.25 = 6,041.25 : x
  2. Step 2: Convert to fraction form
    4,296/6,041.25 = 6,041.25/x
  3. Step 3: Cross multiply
    4,296x = 6,041.25 × 6,041.25
  4. Step 4: Simplify right side
    4,296x = 36,496,701.56
  5. Step 5: Solve for x
    x = 36,496,701.56/4,296
  6. Step 6: Final answer
    x = 8,495.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.