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Finding the Third Proportional to 6,446.63 and 8,697.94

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Solution

The third proportional to 6,446.63 and 8,697.94 is: 11,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.63 : 8,697.94 = 8,697.94 : x
  2. Step 2: Convert to fraction form
    6,446.63/8,697.94 = 8,697.94/x
  3. Step 3: Cross multiply
    6,446.63x = 8,697.94 × 8,697.94
  4. Step 4: Simplify right side
    6,446.63x = 75,654,116.75
  5. Step 5: Solve for x
    x = 75,654,116.75/6,446.63
  6. Step 6: Final answer
    x = 11,735.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.