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Finding the Third Proportional to 20,844 and 31,268.25

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Solution

The third proportional to 20,844 and 31,268.25 is: 46,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844 : 31,268.25 = 31,268.25 : x
  2. Step 2: Convert to fraction form
    20,844/31,268.25 = 31,268.25/x
  3. Step 3: Cross multiply
    20,844x = 31,268.25 × 31,268.25
  4. Step 4: Simplify right side
    20,844x = 977,703,458.06
  5. Step 5: Solve for x
    x = 977,703,458.06/20,844
  6. Step 6: Final answer
    x = 46,905.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.