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Finding the Third Proportional to 46,467 and 69,760.50

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Solution

The third proportional to 46,467 and 69,760.50 is: 104,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,467 : 69,760.50 = 69,760.50 : x
  2. Step 2: Convert to fraction form
    46,467/69,760.50 = 69,760.50/x
  3. Step 3: Cross multiply
    46,467x = 69,760.50 × 69,760.50
  4. Step 4: Simplify right side
    46,467x = 4,866,527,360.25
  5. Step 5: Solve for x
    x = 4,866,527,360.25/46,467
  6. Step 6: Final answer
    x = 104,730.83

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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.