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Finding the Third Proportional to 7,767 and 18,384.75

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Solution

The third proportional to 7,767 and 18,384.75 is: 43,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767 : 18,384.75 = 18,384.75 : x
  2. Step 2: Convert to fraction form
    7,767/18,384.75 = 18,384.75/x
  3. Step 3: Cross multiply
    7,767x = 18,384.75 × 18,384.75
  4. Step 4: Simplify right side
    7,767x = 337,999,032.56
  5. Step 5: Solve for x
    x = 337,999,032.56/7,767
  6. Step 6: Final answer
    x = 43,517.32

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.