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Finding the Third Proportional to 36,096 and 46,368

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Solution

The third proportional to 36,096 and 46,368 is: 59,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,096 : 46,368 = 46,368 : x
  2. Step 2: Convert to fraction form
    36,096/46,368 = 46,368/x
  3. Step 3: Cross multiply
    36,096x = 46,368 × 46,368
  4. Step 4: Simplify right side
    36,096x = 2,149,991,424
  5. Step 5: Solve for x
    x = 2,149,991,424/36,096
  6. Step 6: Final answer
    x = 59,563.15

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.