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Finding the Third Proportional to 14,288.63 and 31,344.75

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Solution

The third proportional to 14,288.63 and 31,344.75 is: 68,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.63 : 31,344.75 = 31,344.75 : x
  2. Step 2: Convert to fraction form
    14,288.63/31,344.75 = 31,344.75/x
  3. Step 3: Cross multiply
    14,288.63x = 31,344.75 × 31,344.75
  4. Step 4: Simplify right side
    14,288.63x = 982,493,352.56
  5. Step 5: Solve for x
    x = 982,493,352.56/14,288.63
  6. Step 6: Final answer
    x = 68,760.52

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Why These Related Problems?

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