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Finding the Third Proportional to 5,774.06 and 8,958.38

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Solution

The third proportional to 5,774.06 and 8,958.38 is: 13,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.06 : 8,958.38 = 8,958.38 : x
  2. Step 2: Convert to fraction form
    5,774.06/8,958.38 = 8,958.38/x
  3. Step 3: Cross multiply
    5,774.06x = 8,958.38 × 8,958.38
  4. Step 4: Simplify right side
    5,774.06x = 80,252,482.64
  5. Step 5: Solve for x
    x = 80,252,482.64/5,774.06
  6. Step 6: Final answer
    x = 13,898.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.