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Finding the Third Proportional to 42,697 and 64,183

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Solution

The third proportional to 42,697 and 64,183 is: 96,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,697 : 64,183 = 64,183 : x
  2. Step 2: Convert to fraction form
    42,697/64,183 = 64,183/x
  3. Step 3: Cross multiply
    42,697x = 64,183 × 64,183
  4. Step 4: Simplify right side
    42,697x = 4,119,457,489
  5. Step 5: Solve for x
    x = 4,119,457,489/42,697
  6. Step 6: Final answer
    x = 96,481.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.