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Finding the Third Proportional to 4,059 and 5,486.06

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Solution

The third proportional to 4,059 and 5,486.06 is: 7,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059 : 5,486.06 = 5,486.06 : x
  2. Step 2: Convert to fraction form
    4,059/5,486.06 = 5,486.06/x
  3. Step 3: Cross multiply
    4,059x = 5,486.06 × 5,486.06
  4. Step 4: Simplify right side
    4,059x = 30,096,881.75
  5. Step 5: Solve for x
    x = 30,096,881.75/4,059
  6. Step 6: Final answer
    x = 7,414.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.