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Finding the Third Proportional to 21,939.75 and 31,268.25

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Solution

The third proportional to 21,939.75 and 31,268.25 is: 44,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,939.75 : 31,268.25 = 31,268.25 : x
  2. Step 2: Convert to fraction form
    21,939.75/31,268.25 = 31,268.25/x
  3. Step 3: Cross multiply
    21,939.75x = 31,268.25 × 31,268.25
  4. Step 4: Simplify right side
    21,939.75x = 977,703,458.06
  5. Step 5: Solve for x
    x = 977,703,458.06/21,939.75
  6. Step 6: Final answer
    x = 44,563.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.