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Finding the Third Proportional to 4,904.72 and 7,504.31

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Solution

The third proportional to 4,904.72 and 7,504.31 is: 11,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.72 : 7,504.31 = 7,504.31 : x
  2. Step 2: Convert to fraction form
    4,904.72/7,504.31 = 7,504.31/x
  3. Step 3: Cross multiply
    4,904.72x = 7,504.31 × 7,504.31
  4. Step 4: Simplify right side
    4,904.72x = 56,314,706.10
  5. Step 5: Solve for x
    x = 56,314,706.10/4,904.72
  6. Step 6: Final answer
    x = 11,481.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.