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Finding the Third Proportional to 6,644 and 9,655

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Solution

The third proportional to 6,644 and 9,655 is: 14,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644 : 9,655 = 9,655 : x
  2. Step 2: Convert to fraction form
    6,644/9,655 = 9,655/x
  3. Step 3: Cross multiply
    6,644x = 9,655 × 9,655
  4. Step 4: Simplify right side
    6,644x = 93,219,025
  5. Step 5: Solve for x
    x = 93,219,025/6,644
  6. Step 6: Final answer
    x = 14,030.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.