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Finding the Third Proportional to 8,266.50 and 14,573.25

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Solution

The third proportional to 8,266.50 and 14,573.25 is: 25,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.50 : 14,573.25 = 14,573.25 : x
  2. Step 2: Convert to fraction form
    8,266.50/14,573.25 = 14,573.25/x
  3. Step 3: Cross multiply
    8,266.50x = 14,573.25 × 14,573.25
  4. Step 4: Simplify right side
    8,266.50x = 212,379,615.56
  5. Step 5: Solve for x
    x = 212,379,615.56/8,266.50
  6. Step 6: Final answer
    x = 25,691.60

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.