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Finding the Third Proportional to 9,709 and 21,247

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Solution

The third proportional to 9,709 and 21,247 is: 46,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709 : 21,247 = 21,247 : x
  2. Step 2: Convert to fraction form
    9,709/21,247 = 21,247/x
  3. Step 3: Cross multiply
    9,709x = 21,247 × 21,247
  4. Step 4: Simplify right side
    9,709x = 451,435,009
  5. Step 5: Solve for x
    x = 451,435,009/9,709
  6. Step 6: Final answer
    x = 46,496.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.