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Finding the Third Proportional to 14,020 and 19,978

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Solution

The third proportional to 14,020 and 19,978 is: 28,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020 : 19,978 = 19,978 : x
  2. Step 2: Convert to fraction form
    14,020/19,978 = 19,978/x
  3. Step 3: Cross multiply
    14,020x = 19,978 × 19,978
  4. Step 4: Simplify right side
    14,020x = 399,120,484
  5. Step 5: Solve for x
    x = 399,120,484/14,020
  6. Step 6: Final answer
    x = 28,467.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.