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Finding the Third Proportional to 5,947.31 and 12,953.81

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Solution

The third proportional to 5,947.31 and 12,953.81 is: 28,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.31 : 12,953.81 = 12,953.81 : x
  2. Step 2: Convert to fraction form
    5,947.31/12,953.81 = 12,953.81/x
  3. Step 3: Cross multiply
    5,947.31x = 12,953.81 × 12,953.81
  4. Step 4: Simplify right side
    5,947.31x = 167,801,258.29
  5. Step 5: Solve for x
    x = 167,801,258.29/5,947.31
  6. Step 6: Final answer
    x = 28,214.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.