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Finding the Third Proportional to 20,995 and 31,695

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Solution

The third proportional to 20,995 and 31,695 is: 47,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,995 : 31,695 = 31,695 : x
  2. Step 2: Convert to fraction form
    20,995/31,695 = 31,695/x
  3. Step 3: Cross multiply
    20,995x = 31,695 × 31,695
  4. Step 4: Simplify right side
    20,995x = 1,004,573,025
  5. Step 5: Solve for x
    x = 1,004,573,025/20,995
  6. Step 6: Final answer
    x = 47,848.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.