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Finding the Third Proportional to 6,523.88 and 9,781.88

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Solution

The third proportional to 6,523.88 and 9,781.88 is: 14,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.88 : 9,781.88 = 9,781.88 : x
  2. Step 2: Convert to fraction form
    6,523.88/9,781.88 = 9,781.88/x
  3. Step 3: Cross multiply
    6,523.88x = 9,781.88 × 9,781.88
  4. Step 4: Simplify right side
    6,523.88x = 95,685,078.52
  5. Step 5: Solve for x
    x = 95,685,078.52/6,523.88
  6. Step 6: Final answer
    x = 14,666.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.