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Finding the Third Proportional to 15,097 and 31,571

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Solution

The third proportional to 15,097 and 31,571 is: 66,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097 : 31,571 = 31,571 : x
  2. Step 2: Convert to fraction form
    15,097/31,571 = 31,571/x
  3. Step 3: Cross multiply
    15,097x = 31,571 × 31,571
  4. Step 4: Simplify right side
    15,097x = 996,728,041
  5. Step 5: Solve for x
    x = 996,728,041/15,097
  6. Step 6: Final answer
    x = 66,021.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.