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Finding the Third Proportional to 9,745 and 21,341

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Solution

The third proportional to 9,745 and 21,341 is: 46,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745 : 21,341 = 21,341 : x
  2. Step 2: Convert to fraction form
    9,745/21,341 = 21,341/x
  3. Step 3: Cross multiply
    9,745x = 21,341 × 21,341
  4. Step 4: Simplify right side
    9,745x = 455,438,281
  5. Step 5: Solve for x
    x = 455,438,281/9,745
  6. Step 6: Final answer
    x = 46,735.59

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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.