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Finding the Third Proportional to 51,048 and 74,790

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Solution

The third proportional to 51,048 and 74,790 is: 109,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048 : 74,790 = 74,790 : x
  2. Step 2: Convert to fraction form
    51,048/74,790 = 74,790/x
  3. Step 3: Cross multiply
    51,048x = 74,790 × 74,790
  4. Step 4: Simplify right side
    51,048x = 5,593,544,100
  5. Step 5: Solve for x
    x = 5,593,544,100/51,048
  6. Step 6: Final answer
    x = 109,574.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.