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Finding the Third Proportional to 18,905 and 40,978

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Solution

The third proportional to 18,905 and 40,978 is: 88,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,905 : 40,978 = 40,978 : x
  2. Step 2: Convert to fraction form
    18,905/40,978 = 40,978/x
  3. Step 3: Cross multiply
    18,905x = 40,978 × 40,978
  4. Step 4: Simplify right side
    18,905x = 1,679,196,484
  5. Step 5: Solve for x
    x = 1,679,196,484/18,905
  6. Step 6: Final answer
    x = 88,822.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.