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Finding the Third Proportional to 25,841 and 55,813

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Solution

The third proportional to 25,841 and 55,813 is: 120,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841 : 55,813 = 55,813 : x
  2. Step 2: Convert to fraction form
    25,841/55,813 = 55,813/x
  3. Step 3: Cross multiply
    25,841x = 55,813 × 55,813
  4. Step 4: Simplify right side
    25,841x = 3,115,090,969
  5. Step 5: Solve for x
    x = 3,115,090,969/25,841
  6. Step 6: Final answer
    x = 120,548.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.