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Finding the Third Proportional to 6,435 and 8,046

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Solution

The third proportional to 6,435 and 8,046 is: 10,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435 : 8,046 = 8,046 : x
  2. Step 2: Convert to fraction form
    6,435/8,046 = 8,046/x
  3. Step 3: Cross multiply
    6,435x = 8,046 × 8,046
  4. Step 4: Simplify right side
    6,435x = 64,738,116
  5. Step 5: Solve for x
    x = 64,738,116/6,435
  6. Step 6: Final answer
    x = 10,060.31

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.