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Finding the Third Proportional to 6,149.25 and 13,280.63

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Solution

The third proportional to 6,149.25 and 13,280.63 is: 28,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.25 : 13,280.63 = 13,280.63 : x
  2. Step 2: Convert to fraction form
    6,149.25/13,280.63 = 13,280.63/x
  3. Step 3: Cross multiply
    6,149.25x = 13,280.63 × 13,280.63
  4. Step 4: Simplify right side
    6,149.25x = 176,375,000.39
  5. Step 5: Solve for x
    x = 176,375,000.39/6,149.25
  6. Step 6: Final answer
    x = 28,682.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.