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Finding the Third Proportional to 5,954.63 and 13,426.31

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Solution

The third proportional to 5,954.63 and 13,426.31 is: 30,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.63 : 13,426.31 = 13,426.31 : x
  2. Step 2: Convert to fraction form
    5,954.63/13,426.31 = 13,426.31/x
  3. Step 3: Cross multiply
    5,954.63x = 13,426.31 × 13,426.31
  4. Step 4: Simplify right side
    5,954.63x = 180,265,867.35
  5. Step 5: Solve for x
    x = 180,265,867.35/5,954.63
  6. Step 6: Final answer
    x = 30,273.25

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.