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Finding the Third Proportional to 13,413 and 36,183

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Solution

The third proportional to 13,413 and 36,183 is: 97,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413 : 36,183 = 36,183 : x
  2. Step 2: Convert to fraction form
    13,413/36,183 = 36,183/x
  3. Step 3: Cross multiply
    13,413x = 36,183 × 36,183
  4. Step 4: Simplify right side
    13,413x = 1,309,209,489
  5. Step 5: Solve for x
    x = 1,309,209,489/13,413
  6. Step 6: Final answer
    x = 97,607.51

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.