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Finding the Third Proportional to 20,108 and 34,457

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Solution

The third proportional to 20,108 and 34,457 is: 59,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,108 : 34,457 = 34,457 : x
  2. Step 2: Convert to fraction form
    20,108/34,457 = 34,457/x
  3. Step 3: Cross multiply
    20,108x = 34,457 × 34,457
  4. Step 4: Simplify right side
    20,108x = 1,187,284,849
  5. Step 5: Solve for x
    x = 1,187,284,849/20,108
  6. Step 6: Final answer
    x = 59,045.40

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.