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Finding the Third Proportional to 1,346.94 and 2,014.72

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Solution

The third proportional to 1,346.94 and 2,014.72 is: 3,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.94 : 2,014.72 = 2,014.72 : x
  2. Step 2: Convert to fraction form
    1,346.94/2,014.72 = 2,014.72/x
  3. Step 3: Cross multiply
    1,346.94x = 2,014.72 × 2,014.72
  4. Step 4: Simplify right side
    1,346.94x = 4,059,083.77
  5. Step 5: Solve for x
    x = 4,059,083.77/1,346.94
  6. Step 6: Final answer
    x = 3,013.56

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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.