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Finding the Third Proportional to 33,014 and 69,291

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Solution

The third proportional to 33,014 and 69,291 is: 145,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014 : 69,291 = 69,291 : x
  2. Step 2: Convert to fraction form
    33,014/69,291 = 69,291/x
  3. Step 3: Cross multiply
    33,014x = 69,291 × 69,291
  4. Step 4: Simplify right side
    33,014x = 4,801,242,681
  5. Step 5: Solve for x
    x = 4,801,242,681/33,014
  6. Step 6: Final answer
    x = 145,430.50

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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.