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Finding the Third Proportional to 5,947.31 and 9,111.94

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Solution

The third proportional to 5,947.31 and 9,111.94 is: 13,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.31 : 9,111.94 = 9,111.94 : x
  2. Step 2: Convert to fraction form
    5,947.31/9,111.94 = 9,111.94/x
  3. Step 3: Cross multiply
    5,947.31x = 9,111.94 × 9,111.94
  4. Step 4: Simplify right side
    5,947.31x = 83,027,405.00
  5. Step 5: Solve for x
    x = 83,027,405.00/5,947.31
  6. Step 6: Final answer
    x = 13,960.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.