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Finding the Third Proportional to 11,784 and 17,228

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Solution

The third proportional to 11,784 and 17,228 is: 25,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 17,228 = 17,228 : x
  2. Step 2: Convert to fraction form
    11,784/17,228 = 17,228/x
  3. Step 3: Cross multiply
    11,784x = 17,228 × 17,228
  4. Step 4: Simplify right side
    11,784x = 296,803,984
  5. Step 5: Solve for x
    x = 296,803,984/11,784
  6. Step 6: Final answer
    x = 25,187.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.