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Finding the Third Proportional to 10,072 and 21,745.75

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Solution

The third proportional to 10,072 and 21,745.75 is: 46,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 21,745.75 = 21,745.75 : x
  2. Step 2: Convert to fraction form
    10,072/21,745.75 = 21,745.75/x
  3. Step 3: Cross multiply
    10,072x = 21,745.75 × 21,745.75
  4. Step 4: Simplify right side
    10,072x = 472,877,643.06
  5. Step 5: Solve for x
    x = 472,877,643.06/10,072
  6. Step 6: Final answer
    x = 46,949.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.