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Finding the Third Proportional to 27,452 and 64,190

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Solution

The third proportional to 27,452 and 64,190 is: 150,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,452 : 64,190 = 64,190 : x
  2. Step 2: Convert to fraction form
    27,452/64,190 = 64,190/x
  3. Step 3: Cross multiply
    27,452x = 64,190 × 64,190
  4. Step 4: Simplify right side
    27,452x = 4,120,356,100
  5. Step 5: Solve for x
    x = 4,120,356,100/27,452
  6. Step 6: Final answer
    x = 150,093.11

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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.