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Finding the Third Proportional to 46,048 and 69,072

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Solution

The third proportional to 46,048 and 69,072 is: 103,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,048 : 69,072 = 69,072 : x
  2. Step 2: Convert to fraction form
    46,048/69,072 = 69,072/x
  3. Step 3: Cross multiply
    46,048x = 69,072 × 69,072
  4. Step 4: Simplify right side
    46,048x = 4,770,941,184
  5. Step 5: Solve for x
    x = 4,770,941,184/46,048
  6. Step 6: Final answer
    x = 103,608

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.