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Finding the Third Proportional to 5,440.50 and 6,002.25

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Solution

The third proportional to 5,440.50 and 6,002.25 is: 6,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.50 : 6,002.25 = 6,002.25 : x
  2. Step 2: Convert to fraction form
    5,440.50/6,002.25 = 6,002.25/x
  3. Step 3: Cross multiply
    5,440.50x = 6,002.25 × 6,002.25
  4. Step 4: Simplify right side
    5,440.50x = 36,027,005.06
  5. Step 5: Solve for x
    x = 36,027,005.06/5,440.50
  6. Step 6: Final answer
    x = 6,622.00

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.