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Finding the Third Proportional to 5,429.25 and 13,713.75

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Solution

The third proportional to 5,429.25 and 13,713.75 is: 34,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.25 : 13,713.75 = 13,713.75 : x
  2. Step 2: Convert to fraction form
    5,429.25/13,713.75 = 13,713.75/x
  3. Step 3: Cross multiply
    5,429.25x = 13,713.75 × 13,713.75
  4. Step 4: Simplify right side
    5,429.25x = 188,066,939.06
  5. Step 5: Solve for x
    x = 188,066,939.06/5,429.25
  6. Step 6: Final answer
    x = 34,639.58

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.