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Finding the Third Proportional to 33,969 and 74,580

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Solution

The third proportional to 33,969 and 74,580 is: 163,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969 : 74,580 = 74,580 : x
  2. Step 2: Convert to fraction form
    33,969/74,580 = 74,580/x
  3. Step 3: Cross multiply
    33,969x = 74,580 × 74,580
  4. Step 4: Simplify right side
    33,969x = 5,562,176,400
  5. Step 5: Solve for x
    x = 5,562,176,400/33,969
  6. Step 6: Final answer
    x = 163,742.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.