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Finding the Third Proportional to 33,473 and 73,415

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Solution

The third proportional to 33,473 and 73,415 is: 161,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473 : 73,415 = 73,415 : x
  2. Step 2: Convert to fraction form
    33,473/73,415 = 73,415/x
  3. Step 3: Cross multiply
    33,473x = 73,415 × 73,415
  4. Step 4: Simplify right side
    33,473x = 5,389,762,225
  5. Step 5: Solve for x
    x = 5,389,762,225/33,473
  6. Step 6: Final answer
    x = 161,018.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.