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Finding the Third Proportional to 33,246 and 71,433

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Solution

The third proportional to 33,246 and 71,433 is: 153,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,246 : 71,433 = 71,433 : x
  2. Step 2: Convert to fraction form
    33,246/71,433 = 71,433/x
  3. Step 3: Cross multiply
    33,246x = 71,433 × 71,433
  4. Step 4: Simplify right side
    33,246x = 5,102,673,489
  5. Step 5: Solve for x
    x = 5,102,673,489/33,246
  6. Step 6: Final answer
    x = 153,482.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.