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Finding the Third Proportional to 20,148 and 42,978

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Solution

The third proportional to 20,148 and 42,978 is: 91,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148 : 42,978 = 42,978 : x
  2. Step 2: Convert to fraction form
    20,148/42,978 = 42,978/x
  3. Step 3: Cross multiply
    20,148x = 42,978 × 42,978
  4. Step 4: Simplify right side
    20,148x = 1,847,108,484
  5. Step 5: Solve for x
    x = 1,847,108,484/20,148
  6. Step 6: Final answer
    x = 91,677.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.