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Finding the Third Proportional to 19,025 and 41,057

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Solution

The third proportional to 19,025 and 41,057 is: 88,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,025 : 41,057 = 41,057 : x
  2. Step 2: Convert to fraction form
    19,025/41,057 = 41,057/x
  3. Step 3: Cross multiply
    19,025x = 41,057 × 41,057
  4. Step 4: Simplify right side
    19,025x = 1,685,677,249
  5. Step 5: Solve for x
    x = 1,685,677,249/19,025
  6. Step 6: Final answer
    x = 88,603.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.