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Finding the Third Proportional to 32,669 and 48,873

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Solution

The third proportional to 32,669 and 48,873 is: 73,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,669 : 48,873 = 48,873 : x
  2. Step 2: Convert to fraction form
    32,669/48,873 = 48,873/x
  3. Step 3: Cross multiply
    32,669x = 48,873 × 48,873
  4. Step 4: Simplify right side
    32,669x = 2,388,570,129
  5. Step 5: Solve for x
    x = 2,388,570,129/32,669
  6. Step 6: Final answer
    x = 73,114.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.