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Finding the Third Proportional to 17,890 and 23,531

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Solution

The third proportional to 17,890 and 23,531 is: 30,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,890 : 23,531 = 23,531 : x
  2. Step 2: Convert to fraction form
    17,890/23,531 = 23,531/x
  3. Step 3: Cross multiply
    17,890x = 23,531 × 23,531
  4. Step 4: Simplify right side
    17,890x = 553,707,961
  5. Step 5: Solve for x
    x = 553,707,961/17,890
  6. Step 6: Final answer
    x = 30,950.70

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.