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Finding the Third Proportional to 7,767 and 19,314

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Solution

The third proportional to 7,767 and 19,314 is: 48,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767 : 19,314 = 19,314 : x
  2. Step 2: Convert to fraction form
    7,767/19,314 = 19,314/x
  3. Step 3: Cross multiply
    7,767x = 19,314 × 19,314
  4. Step 4: Simplify right side
    7,767x = 373,030,596
  5. Step 5: Solve for x
    x = 373,030,596/7,767
  6. Step 6: Final answer
    x = 48,027.63

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.