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Finding the Third Proportional to 6,755.38 and 15,782.88

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Solution

The third proportional to 6,755.38 and 15,782.88 is: 36,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.38 : 15,782.88 = 15,782.88 : x
  2. Step 2: Convert to fraction form
    6,755.38/15,782.88 = 15,782.88/x
  3. Step 3: Cross multiply
    6,755.38x = 15,782.88 × 15,782.88
  4. Step 4: Simplify right side
    6,755.38x = 249,099,143.27
  5. Step 5: Solve for x
    x = 249,099,143.27/6,755.38
  6. Step 6: Final answer
    x = 36,874.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.