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Finding the Third Proportional to 43,401 and 65,566.50

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Solution

The third proportional to 43,401 and 65,566.50 is: 99,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,401 : 65,566.50 = 65,566.50 : x
  2. Step 2: Convert to fraction form
    43,401/65,566.50 = 65,566.50/x
  3. Step 3: Cross multiply
    43,401x = 65,566.50 × 65,566.50
  4. Step 4: Simplify right side
    43,401x = 4,298,965,922.25
  5. Step 5: Solve for x
    x = 4,298,965,922.25/43,401
  6. Step 6: Final answer
    x = 99,052.23

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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.