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Finding the Third Proportional to 6,437 and 6,923

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Solution

The third proportional to 6,437 and 6,923 is: 7,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437 : 6,923 = 6,923 : x
  2. Step 2: Convert to fraction form
    6,437/6,923 = 6,923/x
  3. Step 3: Cross multiply
    6,437x = 6,923 × 6,923
  4. Step 4: Simplify right side
    6,437x = 47,927,929
  5. Step 5: Solve for x
    x = 47,927,929/6,437
  6. Step 6: Final answer
    x = 7,445.69

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.