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Finding the Third Proportional to 4,040.72 and 5,904.35

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Solution

The third proportional to 4,040.72 and 5,904.35 is: 8,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040.72 : 5,904.35 = 5,904.35 : x
  2. Step 2: Convert to fraction form
    4,040.72/5,904.35 = 5,904.35/x
  3. Step 3: Cross multiply
    4,040.72x = 5,904.35 × 5,904.35
  4. Step 4: Simplify right side
    4,040.72x = 34,861,367.37
  5. Step 5: Solve for x
    x = 34,861,367.37/4,040.72
  6. Step 6: Final answer
    x = 8,627.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.