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Finding the Third Proportional to 5,823 and 6,732

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Solution

The third proportional to 5,823 and 6,732 is: 7,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 6,732 = 6,732 : x
  2. Step 2: Convert to fraction form
    5,823/6,732 = 6,732/x
  3. Step 3: Cross multiply
    5,823x = 6,732 × 6,732
  4. Step 4: Simplify right side
    5,823x = 45,319,824
  5. Step 5: Solve for x
    x = 45,319,824/5,823
  6. Step 6: Final answer
    x = 7,782.90

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.