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Finding the Third Proportional to 32,184 and 51,212

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Solution

The third proportional to 32,184 and 51,212 is: 81,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184 : 51,212 = 51,212 : x
  2. Step 2: Convert to fraction form
    32,184/51,212 = 51,212/x
  3. Step 3: Cross multiply
    32,184x = 51,212 × 51,212
  4. Step 4: Simplify right side
    32,184x = 2,622,668,944
  5. Step 5: Solve for x
    x = 2,622,668,944/32,184
  6. Step 6: Final answer
    x = 81,489.84

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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.