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Finding the Third Proportional to 4,735.31 and 7,102.97

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Solution

The third proportional to 4,735.31 and 7,102.97 is: 10,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.31 : 7,102.97 = 7,102.97 : x
  2. Step 2: Convert to fraction form
    4,735.31/7,102.97 = 7,102.97/x
  3. Step 3: Cross multiply
    4,735.31x = 7,102.97 × 7,102.97
  4. Step 4: Simplify right side
    4,735.31x = 50,452,165.06
  5. Step 5: Solve for x
    x = 50,452,165.06/4,735.31
  6. Step 6: Final answer
    x = 10,654.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.