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Finding the Third Proportional to 19,764 and 43,215

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Solution

The third proportional to 19,764 and 43,215 is: 94,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764 : 43,215 = 43,215 : x
  2. Step 2: Convert to fraction form
    19,764/43,215 = 43,215/x
  3. Step 3: Cross multiply
    19,764x = 43,215 × 43,215
  4. Step 4: Simplify right side
    19,764x = 1,867,536,225
  5. Step 5: Solve for x
    x = 1,867,536,225/19,764
  6. Step 6: Final answer
    x = 94,491.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.