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Finding the Third Proportional to 6,530 and 9,669

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Solution

The third proportional to 6,530 and 9,669 is: 14,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530 : 9,669 = 9,669 : x
  2. Step 2: Convert to fraction form
    6,530/9,669 = 9,669/x
  3. Step 3: Cross multiply
    6,530x = 9,669 × 9,669
  4. Step 4: Simplify right side
    6,530x = 93,489,561
  5. Step 5: Solve for x
    x = 93,489,561/6,530
  6. Step 6: Final answer
    x = 14,316.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.