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Finding the Third Proportional to 33,596 and 69,955

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Solution

The third proportional to 33,596 and 69,955 is: 145,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,596 : 69,955 = 69,955 : x
  2. Step 2: Convert to fraction form
    33,596/69,955 = 69,955/x
  3. Step 3: Cross multiply
    33,596x = 69,955 × 69,955
  4. Step 4: Simplify right side
    33,596x = 4,893,702,025
  5. Step 5: Solve for x
    x = 4,893,702,025/33,596
  6. Step 6: Final answer
    x = 145,663.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.