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Finding the Third Proportional to 29,500 and 63,696

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Solution

The third proportional to 29,500 and 63,696 is: 137,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500 : 63,696 = 63,696 : x
  2. Step 2: Convert to fraction form
    29,500/63,696 = 63,696/x
  3. Step 3: Cross multiply
    29,500x = 63,696 × 63,696
  4. Step 4: Simplify right side
    29,500x = 4,057,180,416
  5. Step 5: Solve for x
    x = 4,057,180,416/29,500
  6. Step 6: Final answer
    x = 137,531.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.