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Finding the Third Proportional to 23,775.75 and 27,177.75

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Solution

The third proportional to 23,775.75 and 27,177.75 is: 31,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.75 : 27,177.75 = 27,177.75 : x
  2. Step 2: Convert to fraction form
    23,775.75/27,177.75 = 27,177.75/x
  3. Step 3: Cross multiply
    23,775.75x = 27,177.75 × 27,177.75
  4. Step 4: Simplify right side
    23,775.75x = 738,630,095.06
  5. Step 5: Solve for x
    x = 738,630,095.06/23,775.75
  6. Step 6: Final answer
    x = 31,066.53

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.