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Finding the Third Proportional to 12,365 and 27,187

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Solution

The third proportional to 12,365 and 27,187 is: 59,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365 : 27,187 = 27,187 : x
  2. Step 2: Convert to fraction form
    12,365/27,187 = 27,187/x
  3. Step 3: Cross multiply
    12,365x = 27,187 × 27,187
  4. Step 4: Simplify right side
    12,365x = 739,132,969
  5. Step 5: Solve for x
    x = 739,132,969/12,365
  6. Step 6: Final answer
    x = 59,776.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.