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Finding the Third Proportional to 33,963 and 72,055.50

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Solution

The third proportional to 33,963 and 72,055.50 is: 152,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963 : 72,055.50 = 72,055.50 : x
  2. Step 2: Convert to fraction form
    33,963/72,055.50 = 72,055.50/x
  3. Step 3: Cross multiply
    33,963x = 72,055.50 × 72,055.50
  4. Step 4: Simplify right side
    33,963x = 5,191,995,080.25
  5. Step 5: Solve for x
    x = 5,191,995,080.25/33,963
  6. Step 6: Final answer
    x = 152,872.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.