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Finding the Third Proportional to 2,392.88 and 3,707.44

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Solution

The third proportional to 2,392.88 and 3,707.44 is: 5,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.88 : 3,707.44 = 3,707.44 : x
  2. Step 2: Convert to fraction form
    2,392.88/3,707.44 = 3,707.44/x
  3. Step 3: Cross multiply
    2,392.88x = 3,707.44 × 3,707.44
  4. Step 4: Simplify right side
    2,392.88x = 13,745,092.82
  5. Step 5: Solve for x
    x = 13,745,092.82/2,392.88
  6. Step 6: Final answer
    x = 5,744.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.