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Finding the Third Proportional to 20,326 and 31,457

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Solution

The third proportional to 20,326 and 31,457 is: 48,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,326 : 31,457 = 31,457 : x
  2. Step 2: Convert to fraction form
    20,326/31,457 = 31,457/x
  3. Step 3: Cross multiply
    20,326x = 31,457 × 31,457
  4. Step 4: Simplify right side
    20,326x = 989,542,849
  5. Step 5: Solve for x
    x = 989,542,849/20,326
  6. Step 6: Final answer
    x = 48,683.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.