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Finding the Third Proportional to 25,697.25 and 56,930.34

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Solution

The third proportional to 25,697.25 and 56,930.34 is: 126,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.25 : 56,930.34 = 56,930.34 : x
  2. Step 2: Convert to fraction form
    25,697.25/56,930.34 = 56,930.34/x
  3. Step 3: Cross multiply
    25,697.25x = 56,930.34 × 56,930.34
  4. Step 4: Simplify right side
    25,697.25x = 3,241,064,039.49
  5. Step 5: Solve for x
    x = 3,241,064,039.49/25,697.25
  6. Step 6: Final answer
    x = 126,124.94

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.