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Finding the Third Proportional to 47,072.25 and 71,712

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Solution

The third proportional to 47,072.25 and 71,712 is: 109,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,072.25 : 71,712 = 71,712 : x
  2. Step 2: Convert to fraction form
    47,072.25/71,712 = 71,712/x
  3. Step 3: Cross multiply
    47,072.25x = 71,712 × 71,712
  4. Step 4: Simplify right side
    47,072.25x = 5,142,610,944
  5. Step 5: Solve for x
    x = 5,142,610,944/47,072.25
  6. Step 6: Final answer
    x = 109,249.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.