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Finding the Third Proportional to 5,410.55 and 7,276.71

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Solution

The third proportional to 5,410.55 and 7,276.71 is: 9,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.55 : 7,276.71 = 7,276.71 : x
  2. Step 2: Convert to fraction form
    5,410.55/7,276.71 = 7,276.71/x
  3. Step 3: Cross multiply
    5,410.55x = 7,276.71 × 7,276.71
  4. Step 4: Simplify right side
    5,410.55x = 52,950,522.07
  5. Step 5: Solve for x
    x = 52,950,522.07/5,410.55
  6. Step 6: Final answer
    x = 9,786.54

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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.