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Finding the Third Proportional to 33,237.84 and 69,961.22

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Solution

The third proportional to 33,237.84 and 69,961.22 is: 147,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237.84 : 69,961.22 = 69,961.22 : x
  2. Step 2: Convert to fraction form
    33,237.84/69,961.22 = 69,961.22/x
  3. Step 3: Cross multiply
    33,237.84x = 69,961.22 × 69,961.22
  4. Step 4: Simplify right side
    33,237.84x = 4,894,572,128.99
  5. Step 5: Solve for x
    x = 4,894,572,128.99/33,237.84
  6. Step 6: Final answer
    x = 147,259.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.