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Finding the Third Proportional to 6,412 and 8,645

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Solution

The third proportional to 6,412 and 8,645 is: 11,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 8,645 = 8,645 : x
  2. Step 2: Convert to fraction form
    6,412/8,645 = 8,645/x
  3. Step 3: Cross multiply
    6,412x = 8,645 × 8,645
  4. Step 4: Simplify right side
    6,412x = 74,736,025
  5. Step 5: Solve for x
    x = 74,736,025/6,412
  6. Step 6: Final answer
    x = 11,655.65

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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.