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Finding the Third Proportional to 19,106 and 40,390

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Solution

The third proportional to 19,106 and 40,390 is: 85,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,106 : 40,390 = 40,390 : x
  2. Step 2: Convert to fraction form
    19,106/40,390 = 40,390/x
  3. Step 3: Cross multiply
    19,106x = 40,390 × 40,390
  4. Step 4: Simplify right side
    19,106x = 1,631,352,100
  5. Step 5: Solve for x
    x = 1,631,352,100/19,106
  6. Step 6: Final answer
    x = 85,384.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.