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Finding the Third Proportional to 13,730.50 and 29,978

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Solution

The third proportional to 13,730.50 and 29,978 is: 65,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.50 : 29,978 = 29,978 : x
  2. Step 2: Convert to fraction form
    13,730.50/29,978 = 29,978/x
  3. Step 3: Cross multiply
    13,730.50x = 29,978 × 29,978
  4. Step 4: Simplify right side
    13,730.50x = 898,680,484
  5. Step 5: Solve for x
    x = 898,680,484/13,730.50
  6. Step 6: Final answer
    x = 65,451.40

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