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Finding the Third Proportional to 11,450 and 18,097

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Solution

The third proportional to 11,450 and 18,097 is: 28,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450 : 18,097 = 18,097 : x
  2. Step 2: Convert to fraction form
    11,450/18,097 = 18,097/x
  3. Step 3: Cross multiply
    11,450x = 18,097 × 18,097
  4. Step 4: Simplify right side
    11,450x = 327,501,409
  5. Step 5: Solve for x
    x = 327,501,409/11,450
  6. Step 6: Final answer
    x = 28,602.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.