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Finding the Third Proportional to 47,995 and 71,062

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Solution

The third proportional to 47,995 and 71,062 is: 105,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,995 : 71,062 = 71,062 : x
  2. Step 2: Convert to fraction form
    47,995/71,062 = 71,062/x
  3. Step 3: Cross multiply
    47,995x = 71,062 × 71,062
  4. Step 4: Simplify right side
    47,995x = 5,049,807,844
  5. Step 5: Solve for x
    x = 5,049,807,844/47,995
  6. Step 6: Final answer
    x = 105,215.29

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.