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Finding the Third Proportional to 9,619.31 and 14,456.81

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Solution

The third proportional to 9,619.31 and 14,456.81 is: 21,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.31 : 14,456.81 = 14,456.81 : x
  2. Step 2: Convert to fraction form
    9,619.31/14,456.81 = 14,456.81/x
  3. Step 3: Cross multiply
    9,619.31x = 14,456.81 × 14,456.81
  4. Step 4: Simplify right side
    9,619.31x = 208,999,427.66
  5. Step 5: Solve for x
    x = 208,999,427.66/9,619.31
  6. Step 6: Final answer
    x = 21,727.06

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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.