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Finding the Third Proportional to 19,164 and 40,647

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Solution

The third proportional to 19,164 and 40,647 is: 86,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164 : 40,647 = 40,647 : x
  2. Step 2: Convert to fraction form
    19,164/40,647 = 40,647/x
  3. Step 3: Cross multiply
    19,164x = 40,647 × 40,647
  4. Step 4: Simplify right side
    19,164x = 1,652,178,609
  5. Step 5: Solve for x
    x = 1,652,178,609/19,164
  6. Step 6: Final answer
    x = 86,212.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.