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Finding the Third Proportional to 33,534 and 69,804

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Solution

The third proportional to 33,534 and 69,804 is: 145,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534 : 69,804 = 69,804 : x
  2. Step 2: Convert to fraction form
    33,534/69,804 = 69,804/x
  3. Step 3: Cross multiply
    33,534x = 69,804 × 69,804
  4. Step 4: Simplify right side
    33,534x = 4,872,598,416
  5. Step 5: Solve for x
    x = 4,872,598,416/33,534
  6. Step 6: Final answer
    x = 145,303.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.