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Finding the Third Proportional to 9,619.31 and 14,429.25

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Solution

The third proportional to 9,619.31 and 14,429.25 is: 21,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.31 : 14,429.25 = 14,429.25 : x
  2. Step 2: Convert to fraction form
    9,619.31/14,429.25 = 14,429.25/x
  3. Step 3: Cross multiply
    9,619.31x = 14,429.25 × 14,429.25
  4. Step 4: Simplify right side
    9,619.31x = 208,203,255.56
  5. Step 5: Solve for x
    x = 208,203,255.56/9,619.31
  6. Step 6: Final answer
    x = 21,644.30

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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.