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Finding the Third Proportional to 13,959 and 30,380.06

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Solution

The third proportional to 13,959 and 30,380.06 is: 66,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959 : 30,380.06 = 30,380.06 : x
  2. Step 2: Convert to fraction form
    13,959/30,380.06 = 30,380.06/x
  3. Step 3: Cross multiply
    13,959x = 30,380.06 × 30,380.06
  4. Step 4: Simplify right side
    13,959x = 922,948,197.50
  5. Step 5: Solve for x
    x = 922,948,197.50/13,959
  6. Step 6: Final answer
    x = 66,118.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.