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Finding the Third Proportional to 31,974 and 48,411

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Solution

The third proportional to 31,974 and 48,411 is: 73,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974 : 48,411 = 48,411 : x
  2. Step 2: Convert to fraction form
    31,974/48,411 = 48,411/x
  3. Step 3: Cross multiply
    31,974x = 48,411 × 48,411
  4. Step 4: Simplify right side
    31,974x = 2,343,624,921
  5. Step 5: Solve for x
    x = 2,343,624,921/31,974
  6. Step 6: Final answer
    x = 73,297.83

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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.