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Finding the Third Proportional to 7,700 and 11,918

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Solution

The third proportional to 7,700 and 11,918 is: 18,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700 : 11,918 = 11,918 : x
  2. Step 2: Convert to fraction form
    7,700/11,918 = 11,918/x
  3. Step 3: Cross multiply
    7,700x = 11,918 × 11,918
  4. Step 4: Simplify right side
    7,700x = 142,038,724
  5. Step 5: Solve for x
    x = 142,038,724/7,700
  6. Step 6: Final answer
    x = 18,446.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.