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Finding the Third Proportional to 14,094 and 21,097

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Solution

The third proportional to 14,094 and 21,097 is: 31,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094 : 21,097 = 21,097 : x
  2. Step 2: Convert to fraction form
    14,094/21,097 = 21,097/x
  3. Step 3: Cross multiply
    14,094x = 21,097 × 21,097
  4. Step 4: Simplify right side
    14,094x = 445,083,409
  5. Step 5: Solve for x
    x = 445,083,409/14,094
  6. Step 6: Final answer
    x = 31,579.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.