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Finding the Third Proportional to 32,741 and 70,260

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Solution

The third proportional to 32,741 and 70,260 is: 150,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,741 : 70,260 = 70,260 : x
  2. Step 2: Convert to fraction form
    32,741/70,260 = 70,260/x
  3. Step 3: Cross multiply
    32,741x = 70,260 × 70,260
  4. Step 4: Simplify right side
    32,741x = 4,936,467,600
  5. Step 5: Solve for x
    x = 4,936,467,600/32,741
  6. Step 6: Final answer
    x = 150,773.27

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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.