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Finding the Third Proportional to 8,241.75 and 15,458.34

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Solution

The third proportional to 8,241.75 and 15,458.34 is: 28,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.75 : 15,458.34 = 15,458.34 : x
  2. Step 2: Convert to fraction form
    8,241.75/15,458.34 = 15,458.34/x
  3. Step 3: Cross multiply
    8,241.75x = 15,458.34 × 15,458.34
  4. Step 4: Simplify right side
    8,241.75x = 238,960,391.49
  5. Step 5: Solve for x
    x = 238,960,391.49/8,241.75
  6. Step 6: Final answer
    x = 28,993.89

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.