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Finding the Third Proportional to 9,057 and 19,205

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Solution

The third proportional to 9,057 and 19,205 is: 40,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057 : 19,205 = 19,205 : x
  2. Step 2: Convert to fraction form
    9,057/19,205 = 19,205/x
  3. Step 3: Cross multiply
    9,057x = 19,205 × 19,205
  4. Step 4: Simplify right side
    9,057x = 368,832,025
  5. Step 5: Solve for x
    x = 368,832,025/9,057
  6. Step 6: Final answer
    x = 40,723.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.