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Finding the Third Proportional to 24,194 and 65,717

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Solution

The third proportional to 24,194 and 65,717 is: 178,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194 : 65,717 = 65,717 : x
  2. Step 2: Convert to fraction form
    24,194/65,717 = 65,717/x
  3. Step 3: Cross multiply
    24,194x = 65,717 × 65,717
  4. Step 4: Simplify right side
    24,194x = 4,318,724,089
  5. Step 5: Solve for x
    x = 4,318,724,089/24,194
  6. Step 6: Final answer
    x = 178,503.93

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.