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Finding the Third Proportional to 21,262.94 and 31,279.25

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Solution

The third proportional to 21,262.94 and 31,279.25 is: 46,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.94 : 31,279.25 = 31,279.25 : x
  2. Step 2: Convert to fraction form
    21,262.94/31,279.25 = 31,279.25/x
  3. Step 3: Cross multiply
    21,262.94x = 31,279.25 × 31,279.25
  4. Step 4: Simplify right side
    21,262.94x = 978,391,480.56
  5. Step 5: Solve for x
    x = 978,391,480.56/21,262.94
  6. Step 6: Final answer
    x = 46,013.94

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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.