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Finding the Third Proportional to 7,551.98 and 11,323.55

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Solution

The third proportional to 7,551.98 and 11,323.55 is: 16,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.98 : 11,323.55 = 11,323.55 : x
  2. Step 2: Convert to fraction form
    7,551.98/11,323.55 = 11,323.55/x
  3. Step 3: Cross multiply
    7,551.98x = 11,323.55 × 11,323.55
  4. Step 4: Simplify right side
    7,551.98x = 128,222,713.83
  5. Step 5: Solve for x
    x = 128,222,713.83/7,551.98
  6. Step 6: Final answer
    x = 16,978.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.