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Finding the Third Proportional to 31,208 and 54,640

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Solution

The third proportional to 31,208 and 54,640 is: 95,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208 : 54,640 = 54,640 : x
  2. Step 2: Convert to fraction form
    31,208/54,640 = 54,640/x
  3. Step 3: Cross multiply
    31,208x = 54,640 × 54,640
  4. Step 4: Simplify right side
    31,208x = 2,985,529,600
  5. Step 5: Solve for x
    x = 2,985,529,600/31,208
  6. Step 6: Final answer
    x = 95,665.52

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.