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Finding the Third Proportional to 6,261.05 and 9,983.88

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Solution

The third proportional to 6,261.05 and 9,983.88 is: 15,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.05 : 9,983.88 = 9,983.88 : x
  2. Step 2: Convert to fraction form
    6,261.05/9,983.88 = 9,983.88/x
  3. Step 3: Cross multiply
    6,261.05x = 9,983.88 × 9,983.88
  4. Step 4: Simplify right side
    6,261.05x = 99,677,916.01
  5. Step 5: Solve for x
    x = 99,677,916.01/6,261.05
  6. Step 6: Final answer
    x = 15,920.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.