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Finding the Third Proportional to 6,069.78 and 13,158.07

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Solution

The third proportional to 6,069.78 and 13,158.07 is: 28,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.78 : 13,158.07 = 13,158.07 : x
  2. Step 2: Convert to fraction form
    6,069.78/13,158.07 = 13,158.07/x
  3. Step 3: Cross multiply
    6,069.78x = 13,158.07 × 13,158.07
  4. Step 4: Simplify right side
    6,069.78x = 173,134,814.35
  5. Step 5: Solve for x
    x = 173,134,814.35/6,069.78
  6. Step 6: Final answer
    x = 28,524.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.