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Finding the Third Proportional to 33,958 and 72,290

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Solution

The third proportional to 33,958 and 72,290 is: 153,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,958 : 72,290 = 72,290 : x
  2. Step 2: Convert to fraction form
    33,958/72,290 = 72,290/x
  3. Step 3: Cross multiply
    33,958x = 72,290 × 72,290
  4. Step 4: Simplify right side
    33,958x = 5,225,844,100
  5. Step 5: Solve for x
    x = 5,225,844,100/33,958
  6. Step 6: Final answer
    x = 153,891.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.