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Finding the Third Proportional to 4,271.06 and 6,373.69

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Solution

The third proportional to 4,271.06 and 6,373.69 is: 9,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.06 : 6,373.69 = 6,373.69 : x
  2. Step 2: Convert to fraction form
    4,271.06/6,373.69 = 6,373.69/x
  3. Step 3: Cross multiply
    4,271.06x = 6,373.69 × 6,373.69
  4. Step 4: Simplify right side
    4,271.06x = 40,623,892.35
  5. Step 5: Solve for x
    x = 40,623,892.35/4,271.06
  6. Step 6: Final answer
    x = 9,511.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.