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Finding the Third Proportional to 41,825 and 59,623

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Solution

The third proportional to 41,825 and 59,623 is: 84,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,825 : 59,623 = 59,623 : x
  2. Step 2: Convert to fraction form
    41,825/59,623 = 59,623/x
  3. Step 3: Cross multiply
    41,825x = 59,623 × 59,623
  4. Step 4: Simplify right side
    41,825x = 3,554,902,129
  5. Step 5: Solve for x
    x = 3,554,902,129/41,825
  6. Step 6: Final answer
    x = 84,994.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.