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Finding the Third Proportional to 4,158.56 and 9,086.06

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Solution

The third proportional to 4,158.56 and 9,086.06 is: 19,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.56 : 9,086.06 = 9,086.06 : x
  2. Step 2: Convert to fraction form
    4,158.56/9,086.06 = 9,086.06/x
  3. Step 3: Cross multiply
    4,158.56x = 9,086.06 × 9,086.06
  4. Step 4: Simplify right side
    4,158.56x = 82,556,531.75
  5. Step 5: Solve for x
    x = 82,556,531.75/4,158.56
  6. Step 6: Final answer
    x = 19,852.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.