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Finding the Third Proportional to 13,864.50 and 30,415.50

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Solution

The third proportional to 13,864.50 and 30,415.50 is: 66,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.50 : 30,415.50 = 30,415.50 : x
  2. Step 2: Convert to fraction form
    13,864.50/30,415.50 = 30,415.50/x
  3. Step 3: Cross multiply
    13,864.50x = 30,415.50 × 30,415.50
  4. Step 4: Simplify right side
    13,864.50x = 925,102,640.25
  5. Step 5: Solve for x
    x = 925,102,640.25/13,864.50
  6. Step 6: Final answer
    x = 66,724.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.