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Finding the Third Proportional to 32,469 and 48,916

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Solution

The third proportional to 32,469 and 48,916 is: 73,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469 : 48,916 = 48,916 : x
  2. Step 2: Convert to fraction form
    32,469/48,916 = 48,916/x
  3. Step 3: Cross multiply
    32,469x = 48,916 × 48,916
  4. Step 4: Simplify right side
    32,469x = 2,392,775,056
  5. Step 5: Solve for x
    x = 2,392,775,056/32,469
  6. Step 6: Final answer
    x = 73,694.14

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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.