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Finding the Third Proportional to 19,804 and 43,024

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Solution

The third proportional to 19,804 and 43,024 is: 93,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804 : 43,024 = 43,024 : x
  2. Step 2: Convert to fraction form
    19,804/43,024 = 43,024/x
  3. Step 3: Cross multiply
    19,804x = 43,024 × 43,024
  4. Step 4: Simplify right side
    19,804x = 1,851,064,576
  5. Step 5: Solve for x
    x = 1,851,064,576/19,804
  6. Step 6: Final answer
    x = 93,469.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.