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Finding the Third Proportional to 14,504.56 and 30,755.29

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Solution

The third proportional to 14,504.56 and 30,755.29 is: 65,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.56 : 30,755.29 = 30,755.29 : x
  2. Step 2: Convert to fraction form
    14,504.56/30,755.29 = 30,755.29/x
  3. Step 3: Cross multiply
    14,504.56x = 30,755.29 × 30,755.29
  4. Step 4: Simplify right side
    14,504.56x = 945,887,750.88
  5. Step 5: Solve for x
    x = 945,887,750.88/14,504.56
  6. Step 6: Final answer
    x = 65,213.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.