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Finding the Third Proportional to 11,852.34 and 25,461.94

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Solution

The third proportional to 11,852.34 and 25,461.94 is: 54,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.34 : 25,461.94 = 25,461.94 : x
  2. Step 2: Convert to fraction form
    11,852.34/25,461.94 = 25,461.94/x
  3. Step 3: Cross multiply
    11,852.34x = 25,461.94 × 25,461.94
  4. Step 4: Simplify right side
    11,852.34x = 648,310,261.25
  5. Step 5: Solve for x
    x = 648,310,261.25/11,852.34
  6. Step 6: Final answer
    x = 54,698.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.