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Finding the Third Proportional to 20,648 and 31,060

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Solution

The third proportional to 20,648 and 31,060 is: 46,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648 : 31,060 = 31,060 : x
  2. Step 2: Convert to fraction form
    20,648/31,060 = 31,060/x
  3. Step 3: Cross multiply
    20,648x = 31,060 × 31,060
  4. Step 4: Simplify right side
    20,648x = 964,723,600
  5. Step 5: Solve for x
    x = 964,723,600/20,648
  6. Step 6: Final answer
    x = 46,722.38

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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.