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Finding the Third Proportional to 16,876 and 25,312

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Solution

The third proportional to 16,876 and 25,312 is: 37,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876 : 25,312 = 25,312 : x
  2. Step 2: Convert to fraction form
    16,876/25,312 = 25,312/x
  3. Step 3: Cross multiply
    16,876x = 25,312 × 25,312
  4. Step 4: Simplify right side
    16,876x = 640,697,344
  5. Step 5: Solve for x
    x = 640,697,344/16,876
  6. Step 6: Final answer
    x = 37,965.00

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