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Finding the Third Proportional to 7,876 and 18,130

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Solution

The third proportional to 7,876 and 18,130 is: 41,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876 : 18,130 = 18,130 : x
  2. Step 2: Convert to fraction form
    7,876/18,130 = 18,130/x
  3. Step 3: Cross multiply
    7,876x = 18,130 × 18,130
  4. Step 4: Simplify right side
    7,876x = 328,696,900
  5. Step 5: Solve for x
    x = 328,696,900/7,876
  6. Step 6: Final answer
    x = 41,733.99

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.