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Finding the Third Proportional to 32,154 and 51,201

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Solution

The third proportional to 32,154 and 51,201 is: 81,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154 : 51,201 = 51,201 : x
  2. Step 2: Convert to fraction form
    32,154/51,201 = 51,201/x
  3. Step 3: Cross multiply
    32,154x = 51,201 × 51,201
  4. Step 4: Simplify right side
    32,154x = 2,621,542,401
  5. Step 5: Solve for x
    x = 2,621,542,401/32,154
  6. Step 6: Final answer
    x = 81,530.83

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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.