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Finding the Third Proportional to 9,295 and 21,803

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Solution

The third proportional to 9,295 and 21,803 is: 51,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295 : 21,803 = 21,803 : x
  2. Step 2: Convert to fraction form
    9,295/21,803 = 21,803/x
  3. Step 3: Cross multiply
    9,295x = 21,803 × 21,803
  4. Step 4: Simplify right side
    9,295x = 475,370,809
  5. Step 5: Solve for x
    x = 475,370,809/9,295
  6. Step 6: Final answer
    x = 51,142.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.