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Finding the Third Proportional to 30,926 and 44,674

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Solution

The third proportional to 30,926 and 44,674 is: 64,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926 : 44,674 = 44,674 : x
  2. Step 2: Convert to fraction form
    30,926/44,674 = 44,674/x
  3. Step 3: Cross multiply
    30,926x = 44,674 × 44,674
  4. Step 4: Simplify right side
    30,926x = 1,995,766,276
  5. Step 5: Solve for x
    x = 1,995,766,276/30,926
  6. Step 6: Final answer
    x = 64,533.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.