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Finding the Third Proportional to 7,914 and 17,700

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Solution

The third proportional to 7,914 and 17,700 is: 39,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914 : 17,700 = 17,700 : x
  2. Step 2: Convert to fraction form
    7,914/17,700 = 17,700/x
  3. Step 3: Cross multiply
    7,914x = 17,700 × 17,700
  4. Step 4: Simplify right side
    7,914x = 313,290,000
  5. Step 5: Solve for x
    x = 313,290,000/7,914
  6. Step 6: Final answer
    x = 39,586.81

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.