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Finding the Third Proportional to 13,449.38 and 31,254.19

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Solution

The third proportional to 13,449.38 and 31,254.19 is: 72,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.38 : 31,254.19 = 31,254.19 : x
  2. Step 2: Convert to fraction form
    13,449.38/31,254.19 = 31,254.19/x
  3. Step 3: Cross multiply
    13,449.38x = 31,254.19 × 31,254.19
  4. Step 4: Simplify right side
    13,449.38x = 976,824,236.29
  5. Step 5: Solve for x
    x = 976,824,236.29/13,449.38
  6. Step 6: Final answer
    x = 72,629.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.