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Finding the Third Proportional to 7,694 and 11,300

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Solution

The third proportional to 7,694 and 11,300 is: 16,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694 : 11,300 = 11,300 : x
  2. Step 2: Convert to fraction form
    7,694/11,300 = 11,300/x
  3. Step 3: Cross multiply
    7,694x = 11,300 × 11,300
  4. Step 4: Simplify right side
    7,694x = 127,690,000
  5. Step 5: Solve for x
    x = 127,690,000/7,694
  6. Step 6: Final answer
    x = 16,596.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.