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Finding the Third Proportional to 36,948 and 55,809

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Solution

The third proportional to 36,948 and 55,809 is: 84,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948 : 55,809 = 55,809 : x
  2. Step 2: Convert to fraction form
    36,948/55,809 = 55,809/x
  3. Step 3: Cross multiply
    36,948x = 55,809 × 55,809
  4. Step 4: Simplify right side
    36,948x = 3,114,644,481
  5. Step 5: Solve for x
    x = 3,114,644,481/36,948
  6. Step 6: Final answer
    x = 84,298.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.