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Finding the Third Proportional to 11,801.63 and 25,675.13

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Solution

The third proportional to 11,801.63 and 25,675.13 is: 55,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.63 : 25,675.13 = 25,675.13 : x
  2. Step 2: Convert to fraction form
    11,801.63/25,675.13 = 25,675.13/x
  3. Step 3: Cross multiply
    11,801.63x = 25,675.13 × 25,675.13
  4. Step 4: Simplify right side
    11,801.63x = 659,212,043.77
  5. Step 5: Solve for x
    x = 659,212,043.77/11,801.63
  6. Step 6: Final answer
    x = 55,857.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.