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Finding the Third Proportional to 33,995 and 73,465

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Solution

The third proportional to 33,995 and 73,465 is: 158,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,995 : 73,465 = 73,465 : x
  2. Step 2: Convert to fraction form
    33,995/73,465 = 73,465/x
  3. Step 3: Cross multiply
    33,995x = 73,465 × 73,465
  4. Step 4: Simplify right side
    33,995x = 5,397,106,225
  5. Step 5: Solve for x
    x = 5,397,106,225/33,995
  6. Step 6: Final answer
    x = 158,761.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.