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Finding the Third Proportional to 6,149.67 and 13,271.34

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Solution

The third proportional to 6,149.67 and 13,271.34 is: 28,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.67 : 13,271.34 = 13,271.34 : x
  2. Step 2: Convert to fraction form
    6,149.67/13,271.34 = 13,271.34/x
  3. Step 3: Cross multiply
    6,149.67x = 13,271.34 × 13,271.34
  4. Step 4: Simplify right side
    6,149.67x = 176,128,564.93
  5. Step 5: Solve for x
    x = 176,128,564.93/6,149.67
  6. Step 6: Final answer
    x = 28,640.32

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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.