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Finding the Third Proportional to 12,165.19 and 25,902.28

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Solution

The third proportional to 12,165.19 and 25,902.28 is: 55,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 25,902.28 = 25,902.28 : x
  2. Step 2: Convert to fraction form
    12,165.19/25,902.28 = 25,902.28/x
  3. Step 3: Cross multiply
    12,165.19x = 25,902.28 × 25,902.28
  4. Step 4: Simplify right side
    12,165.19x = 670,928,173.95
  5. Step 5: Solve for x
    x = 670,928,173.95/12,165.19
  6. Step 6: Final answer
    x = 55,151.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.