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Finding the Third Proportional to 28,553 and 68,705

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Solution

The third proportional to 28,553 and 68,705 is: 165,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,553 : 68,705 = 68,705 : x
  2. Step 2: Convert to fraction form
    28,553/68,705 = 68,705/x
  3. Step 3: Cross multiply
    28,553x = 68,705 × 68,705
  4. Step 4: Simplify right side
    28,553x = 4,720,377,025
  5. Step 5: Solve for x
    x = 4,720,377,025/28,553
  6. Step 6: Final answer
    x = 165,319.83

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.