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Finding the Third Proportional to 5,604.75 and 7,441.88

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Solution

The third proportional to 5,604.75 and 7,441.88 is: 9,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.75 : 7,441.88 = 7,441.88 : x
  2. Step 2: Convert to fraction form
    5,604.75/7,441.88 = 7,441.88/x
  3. Step 3: Cross multiply
    5,604.75x = 7,441.88 × 7,441.88
  4. Step 4: Simplify right side
    5,604.75x = 55,381,503.52
  5. Step 5: Solve for x
    x = 55,381,503.52/5,604.75
  6. Step 6: Final answer
    x = 9,881.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.