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Finding the Third Proportional to 9,845 and 21,418

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Solution

The third proportional to 9,845 and 21,418 is: 46,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845 : 21,418 = 21,418 : x
  2. Step 2: Convert to fraction form
    9,845/21,418 = 21,418/x
  3. Step 3: Cross multiply
    9,845x = 21,418 × 21,418
  4. Step 4: Simplify right side
    9,845x = 458,730,724
  5. Step 5: Solve for x
    x = 458,730,724/9,845
  6. Step 6: Final answer
    x = 46,595.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.