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Finding the Third Proportional to 32,791 and 70,361

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Solution

The third proportional to 32,791 and 70,361 is: 150,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,791 : 70,361 = 70,361 : x
  2. Step 2: Convert to fraction form
    32,791/70,361 = 70,361/x
  3. Step 3: Cross multiply
    32,791x = 70,361 × 70,361
  4. Step 4: Simplify right side
    32,791x = 4,950,670,321
  5. Step 5: Solve for x
    x = 4,950,670,321/32,791
  6. Step 6: Final answer
    x = 150,976.50

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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.