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Finding the Third Proportional to 12,165.75 and 26,150.03

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Solution

The third proportional to 12,165.75 and 26,150.03 is: 56,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.75 : 26,150.03 = 26,150.03 : x
  2. Step 2: Convert to fraction form
    12,165.75/26,150.03 = 26,150.03/x
  3. Step 3: Cross multiply
    12,165.75x = 26,150.03 × 26,150.03
  4. Step 4: Simplify right side
    12,165.75x = 683,824,134.38
  5. Step 5: Solve for x
    x = 683,824,134.38/12,165.75
  6. Step 6: Final answer
    x = 56,208.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.