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Finding the Third Proportional to 33,660.50 and 70,803

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Solution

The third proportional to 33,660.50 and 70,803 is: 148,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,660.50 : 70,803 = 70,803 : x
  2. Step 2: Convert to fraction form
    33,660.50/70,803 = 70,803/x
  3. Step 3: Cross multiply
    33,660.50x = 70,803 × 70,803
  4. Step 4: Simplify right side
    33,660.50x = 5,013,064,809
  5. Step 5: Solve for x
    x = 5,013,064,809/33,660.50
  6. Step 6: Final answer
    x = 148,930.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.