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Finding the Third Proportional to 46,452 and 69,783

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Solution

The third proportional to 46,452 and 69,783 is: 104,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,452 : 69,783 = 69,783 : x
  2. Step 2: Convert to fraction form
    46,452/69,783 = 69,783/x
  3. Step 3: Cross multiply
    46,452x = 69,783 × 69,783
  4. Step 4: Simplify right side
    46,452x = 4,869,667,089
  5. Step 5: Solve for x
    x = 4,869,667,089/46,452
  6. Step 6: Final answer
    x = 104,832.24

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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.