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Finding the Third Proportional to 37,047 and 49,761

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Solution

The third proportional to 37,047 and 49,761 is: 66,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047 : 49,761 = 49,761 : x
  2. Step 2: Convert to fraction form
    37,047/49,761 = 49,761/x
  3. Step 3: Cross multiply
    37,047x = 49,761 × 49,761
  4. Step 4: Simplify right side
    37,047x = 2,476,157,121
  5. Step 5: Solve for x
    x = 2,476,157,121/37,047
  6. Step 6: Final answer
    x = 66,838.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.