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Finding the Third Proportional to 8,603.25 and 13,151.63

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Solution

The third proportional to 8,603.25 and 13,151.63 is: 20,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.25 : 13,151.63 = 13,151.63 : x
  2. Step 2: Convert to fraction form
    8,603.25/13,151.63 = 13,151.63/x
  3. Step 3: Cross multiply
    8,603.25x = 13,151.63 × 13,151.63
  4. Step 4: Simplify right side
    8,603.25x = 172,965,240.14
  5. Step 5: Solve for x
    x = 172,965,240.14/8,603.25
  6. Step 6: Final answer
    x = 20,104.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.