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Finding the Third Proportional to 33,043 and 69,317

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Solution

The third proportional to 33,043 and 69,317 is: 145,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,043 : 69,317 = 69,317 : x
  2. Step 2: Convert to fraction form
    33,043/69,317 = 69,317/x
  3. Step 3: Cross multiply
    33,043x = 69,317 × 69,317
  4. Step 4: Simplify right side
    33,043x = 4,804,846,489
  5. Step 5: Solve for x
    x = 4,804,846,489/33,043
  6. Step 6: Final answer
    x = 145,411.93

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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.