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Finding the Third Proportional to 14,035.50 and 30,323.25

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Solution

The third proportional to 14,035.50 and 30,323.25 is: 65,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.50 : 30,323.25 = 30,323.25 : x
  2. Step 2: Convert to fraction form
    14,035.50/30,323.25 = 30,323.25/x
  3. Step 3: Cross multiply
    14,035.50x = 30,323.25 × 30,323.25
  4. Step 4: Simplify right side
    14,035.50x = 919,499,490.56
  5. Step 5: Solve for x
    x = 919,499,490.56/14,035.50
  6. Step 6: Final answer
    x = 65,512.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.