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Finding the Third Proportional to 2,984 and 7,836

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Solution

The third proportional to 2,984 and 7,836 is: 20,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984 : 7,836 = 7,836 : x
  2. Step 2: Convert to fraction form
    2,984/7,836 = 7,836/x
  3. Step 3: Cross multiply
    2,984x = 7,836 × 7,836
  4. Step 4: Simplify right side
    2,984x = 61,402,896
  5. Step 5: Solve for x
    x = 61,402,896/2,984
  6. Step 6: Final answer
    x = 20,577.38

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.