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Finding the Third Proportional to 33,138 and 64,604

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Solution

The third proportional to 33,138 and 64,604 is: 125,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138 : 64,604 = 64,604 : x
  2. Step 2: Convert to fraction form
    33,138/64,604 = 64,604/x
  3. Step 3: Cross multiply
    33,138x = 64,604 × 64,604
  4. Step 4: Simplify right side
    33,138x = 4,173,676,816
  5. Step 5: Solve for x
    x = 4,173,676,816/33,138
  6. Step 6: Final answer
    x = 125,948.36

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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.