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Finding the Third Proportional to 32,974 and 48,736

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Solution

The third proportional to 32,974 and 48,736 is: 72,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974 : 48,736 = 48,736 : x
  2. Step 2: Convert to fraction form
    32,974/48,736 = 48,736/x
  3. Step 3: Cross multiply
    32,974x = 48,736 × 48,736
  4. Step 4: Simplify right side
    32,974x = 2,375,197,696
  5. Step 5: Solve for x
    x = 2,375,197,696/32,974
  6. Step 6: Final answer
    x = 72,032.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.