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Finding the Third Proportional to 32,014 and 74,782

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Solution

The third proportional to 32,014 and 74,782 is: 174,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014 : 74,782 = 74,782 : x
  2. Step 2: Convert to fraction form
    32,014/74,782 = 74,782/x
  3. Step 3: Cross multiply
    32,014x = 74,782 × 74,782
  4. Step 4: Simplify right side
    32,014x = 5,592,347,524
  5. Step 5: Solve for x
    x = 5,592,347,524/32,014
  6. Step 6: Final answer
    x = 174,684.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.