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Finding the Third Proportional to 7,984 and 10,841

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Solution

The third proportional to 7,984 and 10,841 is: 14,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 10,841 = 10,841 : x
  2. Step 2: Convert to fraction form
    7,984/10,841 = 10,841/x
  3. Step 3: Cross multiply
    7,984x = 10,841 × 10,841
  4. Step 4: Simplify right side
    7,984x = 117,527,281
  5. Step 5: Solve for x
    x = 117,527,281/7,984
  6. Step 6: Final answer
    x = 14,720.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.