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Finding the Third Proportional to 2,342.04 and 3,477.52

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Solution

The third proportional to 2,342.04 and 3,477.52 is: 5,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.04 : 3,477.52 = 3,477.52 : x
  2. Step 2: Convert to fraction form
    2,342.04/3,477.52 = 3,477.52/x
  3. Step 3: Cross multiply
    2,342.04x = 3,477.52 × 3,477.52
  4. Step 4: Simplify right side
    2,342.04x = 12,093,114.92
  5. Step 5: Solve for x
    x = 12,093,114.92/2,342.04
  6. Step 6: Final answer
    x = 5,163.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.