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Finding the Third Proportional to 13,269 and 29,170.50

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Solution

The third proportional to 13,269 and 29,170.50 is: 64,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269 : 29,170.50 = 29,170.50 : x
  2. Step 2: Convert to fraction form
    13,269/29,170.50 = 29,170.50/x
  3. Step 3: Cross multiply
    13,269x = 29,170.50 × 29,170.50
  4. Step 4: Simplify right side
    13,269x = 850,918,070.25
  5. Step 5: Solve for x
    x = 850,918,070.25/13,269
  6. Step 6: Final answer
    x = 64,128.27

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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.