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Finding the Third Proportional to 32,118 and 51,153

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Solution

The third proportional to 32,118 and 51,153 is: 81,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,118 : 51,153 = 51,153 : x
  2. Step 2: Convert to fraction form
    32,118/51,153 = 51,153/x
  3. Step 3: Cross multiply
    32,118x = 51,153 × 51,153
  4. Step 4: Simplify right side
    32,118x = 2,616,629,409
  5. Step 5: Solve for x
    x = 2,616,629,409/32,118
  6. Step 6: Final answer
    x = 81,469.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.