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Finding the Third Proportional to 32,967 and 51,678

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Solution

The third proportional to 32,967 and 51,678 is: 81,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 51,678 = 51,678 : x
  2. Step 2: Convert to fraction form
    32,967/51,678 = 51,678/x
  3. Step 3: Cross multiply
    32,967x = 51,678 × 51,678
  4. Step 4: Simplify right side
    32,967x = 2,670,615,684
  5. Step 5: Solve for x
    x = 2,670,615,684/32,967
  6. Step 6: Final answer
    x = 81,008.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.