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Finding the Third Proportional to 5,878 and 7,836

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Solution

The third proportional to 5,878 and 7,836 is: 10,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878 : 7,836 = 7,836 : x
  2. Step 2: Convert to fraction form
    5,878/7,836 = 7,836/x
  3. Step 3: Cross multiply
    5,878x = 7,836 × 7,836
  4. Step 4: Simplify right side
    5,878x = 61,402,896
  5. Step 5: Solve for x
    x = 61,402,896/5,878
  6. Step 6: Final answer
    x = 10,446.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.