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Finding the Third Proportional to 9,530 and 14,670

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Solution

The third proportional to 9,530 and 14,670 is: 22,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530 : 14,670 = 14,670 : x
  2. Step 2: Convert to fraction form
    9,530/14,670 = 14,670/x
  3. Step 3: Cross multiply
    9,530x = 14,670 × 14,670
  4. Step 4: Simplify right side
    9,530x = 215,208,900
  5. Step 5: Solve for x
    x = 215,208,900/9,530
  6. Step 6: Final answer
    x = 22,582.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.