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Finding the Third Proportional to 7,796 and 13,960

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Solution

The third proportional to 7,796 and 13,960 is: 24,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796 : 13,960 = 13,960 : x
  2. Step 2: Convert to fraction form
    7,796/13,960 = 13,960/x
  3. Step 3: Cross multiply
    7,796x = 13,960 × 13,960
  4. Step 4: Simplify right side
    7,796x = 194,881,600
  5. Step 5: Solve for x
    x = 194,881,600/7,796
  6. Step 6: Final answer
    x = 24,997.64

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.