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Finding the Third Proportional to 21,512.25 and 31,563

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Solution

The third proportional to 21,512.25 and 31,563 is: 46,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.25 : 31,563 = 31,563 : x
  2. Step 2: Convert to fraction form
    21,512.25/31,563 = 31,563/x
  3. Step 3: Cross multiply
    21,512.25x = 31,563 × 31,563
  4. Step 4: Simplify right side
    21,512.25x = 996,222,969
  5. Step 5: Solve for x
    x = 996,222,969/21,512.25
  6. Step 6: Final answer
    x = 46,309.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.