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Finding the Third Proportional to 40,769 and 62,369

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Solution

The third proportional to 40,769 and 62,369 is: 95,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,769 : 62,369 = 62,369 : x
  2. Step 2: Convert to fraction form
    40,769/62,369 = 62,369/x
  3. Step 3: Cross multiply
    40,769x = 62,369 × 62,369
  4. Step 4: Simplify right side
    40,769x = 3,889,892,161
  5. Step 5: Solve for x
    x = 3,889,892,161/40,769
  6. Step 6: Final answer
    x = 95,412.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.