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Finding the Third Proportional to 46,357 and 69,350

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Solution

The third proportional to 46,357 and 69,350 is: 103,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,357 : 69,350 = 69,350 : x
  2. Step 2: Convert to fraction form
    46,357/69,350 = 69,350/x
  3. Step 3: Cross multiply
    46,357x = 69,350 × 69,350
  4. Step 4: Simplify right side
    46,357x = 4,809,422,500
  5. Step 5: Solve for x
    x = 4,809,422,500/46,357
  6. Step 6: Final answer
    x = 103,747.49

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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.