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Finding the Third Proportional to 13,976.30 and 30,259.20

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Solution

The third proportional to 13,976.30 and 30,259.20 is: 65,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.30 : 30,259.20 = 30,259.20 : x
  2. Step 2: Convert to fraction form
    13,976.30/30,259.20 = 30,259.20/x
  3. Step 3: Cross multiply
    13,976.30x = 30,259.20 × 30,259.20
  4. Step 4: Simplify right side
    13,976.30x = 915,618,900.96
  5. Step 5: Solve for x
    x = 915,618,900.96/13,976.30
  6. Step 6: Final answer
    x = 65,512.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.