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Finding the Third Proportional to 11,218 and 13,054

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Solution

The third proportional to 11,218 and 13,054 is: 15,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218 : 13,054 = 13,054 : x
  2. Step 2: Convert to fraction form
    11,218/13,054 = 13,054/x
  3. Step 3: Cross multiply
    11,218x = 13,054 × 13,054
  4. Step 4: Simplify right side
    11,218x = 170,406,916
  5. Step 5: Solve for x
    x = 170,406,916/11,218
  6. Step 6: Final answer
    x = 15,190.49

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.