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Finding the Third Proportional to 7,841 and 10,519

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Solution

The third proportional to 7,841 and 10,519 is: 14,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841 : 10,519 = 10,519 : x
  2. Step 2: Convert to fraction form
    7,841/10,519 = 10,519/x
  3. Step 3: Cross multiply
    7,841x = 10,519 × 10,519
  4. Step 4: Simplify right side
    7,841x = 110,649,361
  5. Step 5: Solve for x
    x = 110,649,361/7,841
  6. Step 6: Final answer
    x = 14,111.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.