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Finding the Third Proportional to 38,620 and 84,623

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Solution

The third proportional to 38,620 and 84,623 is: 185,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,620 : 84,623 = 84,623 : x
  2. Step 2: Convert to fraction form
    38,620/84,623 = 84,623/x
  3. Step 3: Cross multiply
    38,620x = 84,623 × 84,623
  4. Step 4: Simplify right side
    38,620x = 7,161,052,129
  5. Step 5: Solve for x
    x = 7,161,052,129/38,620
  6. Step 6: Final answer
    x = 185,423.41

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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.