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Finding the Third Proportional to 52,676 and 70,956

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Solution

The third proportional to 52,676 and 70,956 is: 95,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,676 : 70,956 = 70,956 : x
  2. Step 2: Convert to fraction form
    52,676/70,956 = 70,956/x
  3. Step 3: Cross multiply
    52,676x = 70,956 × 70,956
  4. Step 4: Simplify right side
    52,676x = 5,034,753,936
  5. Step 5: Solve for x
    x = 5,034,753,936/52,676
  6. Step 6: Final answer
    x = 95,579.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.