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Finding the Third Proportional to 27,964 and 43,350

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Solution

The third proportional to 27,964 and 43,350 is: 67,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,964 : 43,350 = 43,350 : x
  2. Step 2: Convert to fraction form
    27,964/43,350 = 43,350/x
  3. Step 3: Cross multiply
    27,964x = 43,350 × 43,350
  4. Step 4: Simplify right side
    27,964x = 1,879,222,500
  5. Step 5: Solve for x
    x = 1,879,222,500/27,964
  6. Step 6: Final answer
    x = 67,201.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.