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Finding the Third Proportional to 2,914.03 and 4,372.31

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Solution

The third proportional to 2,914.03 and 4,372.31 is: 6,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.03 : 4,372.31 = 4,372.31 : x
  2. Step 2: Convert to fraction form
    2,914.03/4,372.31 = 4,372.31/x
  3. Step 3: Cross multiply
    2,914.03x = 4,372.31 × 4,372.31
  4. Step 4: Simplify right side
    2,914.03x = 19,117,116.60
  5. Step 5: Solve for x
    x = 19,117,116.60/2,914.03
  6. Step 6: Final answer
    x = 6,560.37

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