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Finding the Third Proportional to 37,490 and 81,094

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Solution

The third proportional to 37,490 and 81,094 is: 175,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,490 : 81,094 = 81,094 : x
  2. Step 2: Convert to fraction form
    37,490/81,094 = 81,094/x
  3. Step 3: Cross multiply
    37,490x = 81,094 × 81,094
  4. Step 4: Simplify right side
    37,490x = 6,576,236,836
  5. Step 5: Solve for x
    x = 6,576,236,836/37,490
  6. Step 6: Final answer
    x = 175,413.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.