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Finding the Third Proportional to 3,893.06 and 9,158.06

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Solution

The third proportional to 3,893.06 and 9,158.06 is: 21,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.06 : 9,158.06 = 9,158.06 : x
  2. Step 2: Convert to fraction form
    3,893.06/9,158.06 = 9,158.06/x
  3. Step 3: Cross multiply
    3,893.06x = 9,158.06 × 9,158.06
  4. Step 4: Simplify right side
    3,893.06x = 83,870,108.75
  5. Step 5: Solve for x
    x = 83,870,108.75/3,893.06
  6. Step 6: Final answer
    x = 21,543.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.