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Finding the Third Proportional to 13,094 and 14,318

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Solution

The third proportional to 13,094 and 14,318 is: 15,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094 : 14,318 = 14,318 : x
  2. Step 2: Convert to fraction form
    13,094/14,318 = 14,318/x
  3. Step 3: Cross multiply
    13,094x = 14,318 × 14,318
  4. Step 4: Simplify right side
    13,094x = 205,005,124
  5. Step 5: Solve for x
    x = 205,005,124/13,094
  6. Step 6: Final answer
    x = 15,656.42

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.