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Finding the Third Proportional to 7,801.31 and 12,278.81

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Solution

The third proportional to 7,801.31 and 12,278.81 is: 19,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.31 : 12,278.81 = 12,278.81 : x
  2. Step 2: Convert to fraction form
    7,801.31/12,278.81 = 12,278.81/x
  3. Step 3: Cross multiply
    7,801.31x = 12,278.81 × 12,278.81
  4. Step 4: Simplify right side
    7,801.31x = 150,769,236.41
  5. Step 5: Solve for x
    x = 150,769,236.41/7,801.31
  6. Step 6: Final answer
    x = 19,326.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.