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Finding the Third Proportional to 47,409 and 69,360

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Solution

The third proportional to 47,409 and 69,360 is: 101,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,409 : 69,360 = 69,360 : x
  2. Step 2: Convert to fraction form
    47,409/69,360 = 69,360/x
  3. Step 3: Cross multiply
    47,409x = 69,360 × 69,360
  4. Step 4: Simplify right side
    47,409x = 4,810,809,600
  5. Step 5: Solve for x
    x = 4,810,809,600/47,409
  6. Step 6: Final answer
    x = 101,474.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.