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Finding the Third Proportional to 32,688 and 50,048

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Solution

The third proportional to 32,688 and 50,048 is: 76,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688 : 50,048 = 50,048 : x
  2. Step 2: Convert to fraction form
    32,688/50,048 = 50,048/x
  3. Step 3: Cross multiply
    32,688x = 50,048 × 50,048
  4. Step 4: Simplify right side
    32,688x = 2,504,802,304
  5. Step 5: Solve for x
    x = 2,504,802,304/32,688
  6. Step 6: Final answer
    x = 76,627.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.