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Finding the Third Proportional to 32,786.75 and 70,248.25

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Solution

The third proportional to 32,786.75 and 70,248.25 is: 150,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786.75 : 70,248.25 = 70,248.25 : x
  2. Step 2: Convert to fraction form
    32,786.75/70,248.25 = 70,248.25/x
  3. Step 3: Cross multiply
    32,786.75x = 70,248.25 × 70,248.25
  4. Step 4: Simplify right side
    32,786.75x = 4,934,816,628.06
  5. Step 5: Solve for x
    x = 4,934,816,628.06/32,786.75
  6. Step 6: Final answer
    x = 150,512.53

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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.