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Finding the Third Proportional to 2,732.63 and 3,670.31

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Solution

The third proportional to 2,732.63 and 3,670.31 is: 4,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.63 : 3,670.31 = 3,670.31 : x
  2. Step 2: Convert to fraction form
    2,732.63/3,670.31 = 3,670.31/x
  3. Step 3: Cross multiply
    2,732.63x = 3,670.31 × 3,670.31
  4. Step 4: Simplify right side
    2,732.63x = 13,471,193.85
  5. Step 5: Solve for x
    x = 13,471,193.85/2,732.63
  6. Step 6: Final answer
    x = 4,929.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.