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Finding the Third Proportional to 33,054 and 64,446

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Solution

The third proportional to 33,054 and 64,446 is: 125,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054 : 64,446 = 64,446 : x
  2. Step 2: Convert to fraction form
    33,054/64,446 = 64,446/x
  3. Step 3: Cross multiply
    33,054x = 64,446 × 64,446
  4. Step 4: Simplify right side
    33,054x = 4,153,286,916
  5. Step 5: Solve for x
    x = 4,153,286,916/33,054
  6. Step 6: Final answer
    x = 125,651.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.