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Finding the Third Proportional to 19,107 and 41,905

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Solution

The third proportional to 19,107 and 41,905 is: 91,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,107 : 41,905 = 41,905 : x
  2. Step 2: Convert to fraction form
    19,107/41,905 = 41,905/x
  3. Step 3: Cross multiply
    19,107x = 41,905 × 41,905
  4. Step 4: Simplify right side
    19,107x = 1,756,029,025
  5. Step 5: Solve for x
    x = 1,756,029,025/19,107
  6. Step 6: Final answer
    x = 91,905.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.