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Finding the Third Proportional to 33,329 and 72,004

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Solution

The third proportional to 33,329 and 72,004 is: 155,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,329 : 72,004 = 72,004 : x
  2. Step 2: Convert to fraction form
    33,329/72,004 = 72,004/x
  3. Step 3: Cross multiply
    33,329x = 72,004 × 72,004
  4. Step 4: Simplify right side
    33,329x = 5,184,576,016
  5. Step 5: Solve for x
    x = 5,184,576,016/33,329
  6. Step 6: Final answer
    x = 155,557.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.