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Finding the Third Proportional to 5,072.63 and 7,472.25

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Solution

The third proportional to 5,072.63 and 7,472.25 is: 11,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.63 : 7,472.25 = 7,472.25 : x
  2. Step 2: Convert to fraction form
    5,072.63/7,472.25 = 7,472.25/x
  3. Step 3: Cross multiply
    5,072.63x = 7,472.25 × 7,472.25
  4. Step 4: Simplify right side
    5,072.63x = 55,834,520.06
  5. Step 5: Solve for x
    x = 55,834,520.06/5,072.63
  6. Step 6: Final answer
    x = 11,007.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.