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Finding the Third Proportional to 46,198.50 and 69,558

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Solution

The third proportional to 46,198.50 and 69,558 is: 104,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,198.50 : 69,558 = 69,558 : x
  2. Step 2: Convert to fraction form
    46,198.50/69,558 = 69,558/x
  3. Step 3: Cross multiply
    46,198.50x = 69,558 × 69,558
  4. Step 4: Simplify right side
    46,198.50x = 4,838,315,364
  5. Step 5: Solve for x
    x = 4,838,315,364/46,198.50
  6. Step 6: Final answer
    x = 104,728.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.