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Finding the Third Proportional to 33,114.50 and 70,963.63

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Solution

The third proportional to 33,114.50 and 70,963.63 is: 152,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.50 : 70,963.63 = 70,963.63 : x
  2. Step 2: Convert to fraction form
    33,114.50/70,963.63 = 70,963.63/x
  3. Step 3: Cross multiply
    33,114.50x = 70,963.63 × 70,963.63
  4. Step 4: Simplify right side
    33,114.50x = 5,035,836,073.14
  5. Step 5: Solve for x
    x = 5,035,836,073.14/33,114.50
  6. Step 6: Final answer
    x = 152,073.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.