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Finding the Third Proportional to 9,754 and 21,214

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Solution

The third proportional to 9,754 and 21,214 is: 46,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754 : 21,214 = 21,214 : x
  2. Step 2: Convert to fraction form
    9,754/21,214 = 21,214/x
  3. Step 3: Cross multiply
    9,754x = 21,214 × 21,214
  4. Step 4: Simplify right side
    9,754x = 450,033,796
  5. Step 5: Solve for x
    x = 450,033,796/9,754
  6. Step 6: Final answer
    x = 46,138.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.