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Finding the Third Proportional to 33,006 and 70,987.75

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Solution

The third proportional to 33,006 and 70,987.75 is: 152,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006 : 70,987.75 = 70,987.75 : x
  2. Step 2: Convert to fraction form
    33,006/70,987.75 = 70,987.75/x
  3. Step 3: Cross multiply
    33,006x = 70,987.75 × 70,987.75
  4. Step 4: Simplify right side
    33,006x = 5,039,260,650.06
  5. Step 5: Solve for x
    x = 5,039,260,650.06/33,006
  6. Step 6: Final answer
    x = 152,677.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.