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Finding the Third Proportional to 11,964 and 19,224

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Solution

The third proportional to 11,964 and 19,224 is: 30,889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 19,224 = 19,224 : x
  2. Step 2: Convert to fraction form
    11,964/19,224 = 19,224/x
  3. Step 3: Cross multiply
    11,964x = 19,224 × 19,224
  4. Step 4: Simplify right side
    11,964x = 369,562,176
  5. Step 5: Solve for x
    x = 369,562,176/11,964
  6. Step 6: Final answer
    x = 30,889.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.