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Finding the Third Proportional to 5,322.80 and 7,999.42

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Solution

The third proportional to 5,322.80 and 7,999.42 is: 12,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.80 : 7,999.42 = 7,999.42 : x
  2. Step 2: Convert to fraction form
    5,322.80/7,999.42 = 7,999.42/x
  3. Step 3: Cross multiply
    5,322.80x = 7,999.42 × 7,999.42
  4. Step 4: Simplify right side
    5,322.80x = 63,990,758.15
  5. Step 5: Solve for x
    x = 63,990,758.15/5,322.80
  6. Step 6: Final answer
    x = 12,022.00

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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.