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Finding the Third Proportional to 2,557.20 and 4,092.08

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Solution

The third proportional to 2,557.20 and 4,092.08 is: 6,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.20 : 4,092.08 = 4,092.08 : x
  2. Step 2: Convert to fraction form
    2,557.20/4,092.08 = 4,092.08/x
  3. Step 3: Cross multiply
    2,557.20x = 4,092.08 × 4,092.08
  4. Step 4: Simplify right side
    2,557.20x = 16,745,135.35
  5. Step 5: Solve for x
    x = 16,745,135.35/2,557.20
  6. Step 6: Final answer
    x = 6,548.24

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.