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Finding the Third Proportional to 11,684 and 13,348

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Solution

The third proportional to 11,684 and 13,348 is: 15,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684 : 13,348 = 13,348 : x
  2. Step 2: Convert to fraction form
    11,684/13,348 = 13,348/x
  3. Step 3: Cross multiply
    11,684x = 13,348 × 13,348
  4. Step 4: Simplify right side
    11,684x = 178,169,104
  5. Step 5: Solve for x
    x = 178,169,104/11,684
  6. Step 6: Final answer
    x = 15,248.98

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.