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Finding the Third Proportional to 29,736 and 40,502.25

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Solution

The third proportional to 29,736 and 40,502.25 is: 55,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,736 : 40,502.25 = 40,502.25 : x
  2. Step 2: Convert to fraction form
    29,736/40,502.25 = 40,502.25/x
  3. Step 3: Cross multiply
    29,736x = 40,502.25 × 40,502.25
  4. Step 4: Simplify right side
    29,736x = 1,640,432,255.06
  5. Step 5: Solve for x
    x = 1,640,432,255.06/29,736
  6. Step 6: Final answer
    x = 55,166.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.