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Finding the Third Proportional to 11,784 and 18,294

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Solution

The third proportional to 11,784 and 18,294 is: 28,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 18,294 = 18,294 : x
  2. Step 2: Convert to fraction form
    11,784/18,294 = 18,294/x
  3. Step 3: Cross multiply
    11,784x = 18,294 × 18,294
  4. Step 4: Simplify right side
    11,784x = 334,670,436
  5. Step 5: Solve for x
    x = 334,670,436/11,784
  6. Step 6: Final answer
    x = 28,400.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.