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Finding the Third Proportional to 13,500 and 29,656

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Solution

The third proportional to 13,500 and 29,656 is: 65,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500 : 29,656 = 29,656 : x
  2. Step 2: Convert to fraction form
    13,500/29,656 = 29,656/x
  3. Step 3: Cross multiply
    13,500x = 29,656 × 29,656
  4. Step 4: Simplify right side
    13,500x = 879,478,336
  5. Step 5: Solve for x
    x = 879,478,336/13,500
  6. Step 6: Final answer
    x = 65,146.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.