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Finding the Third Proportional to 7,816 and 13,900

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Solution

The third proportional to 7,816 and 13,900 is: 24,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816 : 13,900 = 13,900 : x
  2. Step 2: Convert to fraction form
    7,816/13,900 = 13,900/x
  3. Step 3: Cross multiply
    7,816x = 13,900 × 13,900
  4. Step 4: Simplify right side
    7,816x = 193,210,000
  5. Step 5: Solve for x
    x = 193,210,000/7,816
  6. Step 6: Final answer
    x = 24,719.81

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.