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Finding the Third Proportional to 6,204.09 and 9,761.77

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Solution

The third proportional to 6,204.09 and 9,761.77 is: 15,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.09 : 9,761.77 = 9,761.77 : x
  2. Step 2: Convert to fraction form
    6,204.09/9,761.77 = 9,761.77/x
  3. Step 3: Cross multiply
    6,204.09x = 9,761.77 × 9,761.77
  4. Step 4: Simplify right side
    6,204.09x = 95,292,068.12
  5. Step 5: Solve for x
    x = 95,292,068.12/6,204.09
  6. Step 6: Final answer
    x = 15,359.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.