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Finding the Third Proportional to 41,579 and 97,620

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Solution

The third proportional to 41,579 and 97,620 is: 229,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,579 : 97,620 = 97,620 : x
  2. Step 2: Convert to fraction form
    41,579/97,620 = 97,620/x
  3. Step 3: Cross multiply
    41,579x = 97,620 × 97,620
  4. Step 4: Simplify right side
    41,579x = 9,529,664,400
  5. Step 5: Solve for x
    x = 9,529,664,400/41,579
  6. Step 6: Final answer
    x = 229,194.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.