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Finding the Third Proportional to 35,069 and 52,969

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Solution

The third proportional to 35,069 and 52,969 is: 80,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,069 : 52,969 = 52,969 : x
  2. Step 2: Convert to fraction form
    35,069/52,969 = 52,969/x
  3. Step 3: Cross multiply
    35,069x = 52,969 × 52,969
  4. Step 4: Simplify right side
    35,069x = 2,805,714,961
  5. Step 5: Solve for x
    x = 2,805,714,961/35,069
  6. Step 6: Final answer
    x = 80,005.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.