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Finding the Third Proportional to 51,946 and 74,027

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Solution

The third proportional to 51,946 and 74,027 is: 105,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,946 : 74,027 = 74,027 : x
  2. Step 2: Convert to fraction form
    51,946/74,027 = 74,027/x
  3. Step 3: Cross multiply
    51,946x = 74,027 × 74,027
  4. Step 4: Simplify right side
    51,946x = 5,479,996,729
  5. Step 5: Solve for x
    x = 5,479,996,729/51,946
  6. Step 6: Final answer
    x = 105,494.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.