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Finding the Third Proportional to 13,696 and 29,328

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Solution

The third proportional to 13,696 and 29,328 is: 62,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696 : 29,328 = 29,328 : x
  2. Step 2: Convert to fraction form
    13,696/29,328 = 29,328/x
  3. Step 3: Cross multiply
    13,696x = 29,328 × 29,328
  4. Step 4: Simplify right side
    13,696x = 860,131,584
  5. Step 5: Solve for x
    x = 860,131,584/13,696
  6. Step 6: Final answer
    x = 62,801.66

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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.