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Finding the Third Proportional to 12,592.13 and 27,371.25

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Solution

The third proportional to 12,592.13 and 27,371.25 is: 59,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.13 : 27,371.25 = 27,371.25 : x
  2. Step 2: Convert to fraction form
    12,592.13/27,371.25 = 27,371.25/x
  3. Step 3: Cross multiply
    12,592.13x = 27,371.25 × 27,371.25
  4. Step 4: Simplify right side
    12,592.13x = 749,185,326.56
  5. Step 5: Solve for x
    x = 749,185,326.56/12,592.13
  6. Step 6: Final answer
    x = 59,496.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.