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Finding the Third Proportional to 13,640 and 29,224

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Solution

The third proportional to 13,640 and 29,224 is: 62,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640 : 29,224 = 29,224 : x
  2. Step 2: Convert to fraction form
    13,640/29,224 = 29,224/x
  3. Step 3: Cross multiply
    13,640x = 29,224 × 29,224
  4. Step 4: Simplify right side
    13,640x = 854,042,176
  5. Step 5: Solve for x
    x = 854,042,176/13,640
  6. Step 6: Final answer
    x = 62,613.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.