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Finding the Third Proportional to 19,024 and 28,832

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Solution

The third proportional to 19,024 and 28,832 is: 43,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 28,832 = 28,832 : x
  2. Step 2: Convert to fraction form
    19,024/28,832 = 28,832/x
  3. Step 3: Cross multiply
    19,024x = 28,832 × 28,832
  4. Step 4: Simplify right side
    19,024x = 831,284,224
  5. Step 5: Solve for x
    x = 831,284,224/19,024
  6. Step 6: Final answer
    x = 43,696.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.