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Finding the Third Proportional to 32,732 and 69,736

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Solution

The third proportional to 32,732 and 69,736 is: 148,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732 : 69,736 = 69,736 : x
  2. Step 2: Convert to fraction form
    32,732/69,736 = 69,736/x
  3. Step 3: Cross multiply
    32,732x = 69,736 × 69,736
  4. Step 4: Simplify right side
    32,732x = 4,863,109,696
  5. Step 5: Solve for x
    x = 4,863,109,696/32,732
  6. Step 6: Final answer
    x = 148,573.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.