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Finding the Third Proportional to 15,920 and 23,876

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Solution

The third proportional to 15,920 and 23,876 is: 35,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 23,876 = 23,876 : x
  2. Step 2: Convert to fraction form
    15,920/23,876 = 23,876/x
  3. Step 3: Cross multiply
    15,920x = 23,876 × 23,876
  4. Step 4: Simplify right side
    15,920x = 570,063,376
  5. Step 5: Solve for x
    x = 570,063,376/15,920
  6. Step 6: Final answer
    x = 35,808.00

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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.