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Finding the Third Proportional to 8,417.25 and 12,462.75

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Solution

The third proportional to 8,417.25 and 12,462.75 is: 18,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.25 : 12,462.75 = 12,462.75 : x
  2. Step 2: Convert to fraction form
    8,417.25/12,462.75 = 12,462.75/x
  3. Step 3: Cross multiply
    8,417.25x = 12,462.75 × 12,462.75
  4. Step 4: Simplify right side
    8,417.25x = 155,320,137.56
  5. Step 5: Solve for x
    x = 155,320,137.56/8,417.25
  6. Step 6: Final answer
    x = 18,452.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.