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Finding the Third Proportional to 15,001 and 36,097

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Solution

The third proportional to 15,001 and 36,097 is: 86,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,001 : 36,097 = 36,097 : x
  2. Step 2: Convert to fraction form
    15,001/36,097 = 36,097/x
  3. Step 3: Cross multiply
    15,001x = 36,097 × 36,097
  4. Step 4: Simplify right side
    15,001x = 1,302,993,409
  5. Step 5: Solve for x
    x = 1,302,993,409/15,001
  6. Step 6: Final answer
    x = 86,860.44

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.