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Finding the Third Proportional to 46,050 and 69,976

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Solution

The third proportional to 46,050 and 69,976 is: 106,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,050 : 69,976 = 69,976 : x
  2. Step 2: Convert to fraction form
    46,050/69,976 = 69,976/x
  3. Step 3: Cross multiply
    46,050x = 69,976 × 69,976
  4. Step 4: Simplify right side
    46,050x = 4,896,640,576
  5. Step 5: Solve for x
    x = 4,896,640,576/46,050
  6. Step 6: Final answer
    x = 106,333.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.