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Finding the Third Proportional to 4,782.38 and 6,748.31

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Solution

The third proportional to 4,782.38 and 6,748.31 is: 9,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.38 : 6,748.31 = 6,748.31 : x
  2. Step 2: Convert to fraction form
    4,782.38/6,748.31 = 6,748.31/x
  3. Step 3: Cross multiply
    4,782.38x = 6,748.31 × 6,748.31
  4. Step 4: Simplify right side
    4,782.38x = 45,539,721.60
  5. Step 5: Solve for x
    x = 45,539,721.60/4,782.38
  6. Step 6: Final answer
    x = 9,522.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.