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Finding the Third Proportional to 35,069 and 48,211.50

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Solution

The third proportional to 35,069 and 48,211.50 is: 66,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,069 : 48,211.50 = 48,211.50 : x
  2. Step 2: Convert to fraction form
    35,069/48,211.50 = 48,211.50/x
  3. Step 3: Cross multiply
    35,069x = 48,211.50 × 48,211.50
  4. Step 4: Simplify right side
    35,069x = 2,324,348,732.25
  5. Step 5: Solve for x
    x = 2,324,348,732.25/35,069
  6. Step 6: Final answer
    x = 66,279.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.