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Finding the Third Proportional to 23,326 and 32,090

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Solution

The third proportional to 23,326 and 32,090 is: 44,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,326 : 32,090 = 32,090 : x
  2. Step 2: Convert to fraction form
    23,326/32,090 = 32,090/x
  3. Step 3: Cross multiply
    23,326x = 32,090 × 32,090
  4. Step 4: Simplify right side
    23,326x = 1,029,768,100
  5. Step 5: Solve for x
    x = 1,029,768,100/23,326
  6. Step 6: Final answer
    x = 44,146.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.