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Finding the Third Proportional to 31,804 and 48,906

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Solution

The third proportional to 31,804 and 48,906 is: 75,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804 : 48,906 = 48,906 : x
  2. Step 2: Convert to fraction form
    31,804/48,906 = 48,906/x
  3. Step 3: Cross multiply
    31,804x = 48,906 × 48,906
  4. Step 4: Simplify right side
    31,804x = 2,391,796,836
  5. Step 5: Solve for x
    x = 2,391,796,836/31,804
  6. Step 6: Final answer
    x = 75,204.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.