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Finding the Third Proportional to 14,412 and 30,978

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Solution

The third proportional to 14,412 and 30,978 is: 66,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412 : 30,978 = 30,978 : x
  2. Step 2: Convert to fraction form
    14,412/30,978 = 30,978/x
  3. Step 3: Cross multiply
    14,412x = 30,978 × 30,978
  4. Step 4: Simplify right side
    14,412x = 959,636,484
  5. Step 5: Solve for x
    x = 959,636,484/14,412
  6. Step 6: Final answer
    x = 66,585.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.