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Finding the Third Proportional to 20,268 and 31,730

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Solution

The third proportional to 20,268 and 31,730 is: 49,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268 : 31,730 = 31,730 : x
  2. Step 2: Convert to fraction form
    20,268/31,730 = 31,730/x
  3. Step 3: Cross multiply
    20,268x = 31,730 × 31,730
  4. Step 4: Simplify right side
    20,268x = 1,006,792,900
  5. Step 5: Solve for x
    x = 1,006,792,900/20,268
  6. Step 6: Final answer
    x = 49,674.01

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.