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Finding the Third Proportional to 11,927.25 and 25,904.81

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Solution

The third proportional to 11,927.25 and 25,904.81 is: 56,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.25 : 25,904.81 = 25,904.81 : x
  2. Step 2: Convert to fraction form
    11,927.25/25,904.81 = 25,904.81/x
  3. Step 3: Cross multiply
    11,927.25x = 25,904.81 × 25,904.81
  4. Step 4: Simplify right side
    11,927.25x = 671,059,310.66
  5. Step 5: Solve for x
    x = 671,059,310.66/11,927.25
  6. Step 6: Final answer
    x = 56,262.70

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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.