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Finding the Third Proportional to 6,530 and 7,090

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Solution

The third proportional to 6,530 and 7,090 is: 7,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530 : 7,090 = 7,090 : x
  2. Step 2: Convert to fraction form
    6,530/7,090 = 7,090/x
  3. Step 3: Cross multiply
    6,530x = 7,090 × 7,090
  4. Step 4: Simplify right side
    6,530x = 50,268,100
  5. Step 5: Solve for x
    x = 50,268,100/6,530
  6. Step 6: Final answer
    x = 7,698.02

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.