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Finding the Third Proportional to 11,925.75 and 25,901.81

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Solution

The third proportional to 11,925.75 and 25,901.81 is: 56,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.75 : 25,901.81 = 25,901.81 : x
  2. Step 2: Convert to fraction form
    11,925.75/25,901.81 = 25,901.81/x
  3. Step 3: Cross multiply
    11,925.75x = 25,901.81 × 25,901.81
  4. Step 4: Simplify right side
    11,925.75x = 670,903,890.79
  5. Step 5: Solve for x
    x = 670,903,890.79/11,925.75
  6. Step 6: Final answer
    x = 56,256.75

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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.