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Finding the Third Proportional to 25,992.50 and 56,305

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Solution

The third proportional to 25,992.50 and 56,305 is: 121,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,992.50 : 56,305 = 56,305 : x
  2. Step 2: Convert to fraction form
    25,992.50/56,305 = 56,305/x
  3. Step 3: Cross multiply
    25,992.50x = 56,305 × 56,305
  4. Step 4: Simplify right side
    25,992.50x = 3,170,253,025
  5. Step 5: Solve for x
    x = 3,170,253,025/25,992.50
  6. Step 6: Final answer
    x = 121,967.99

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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.