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Finding the Third Proportional to 12,482.25 and 27,168.56

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Solution

The third proportional to 12,482.25 and 27,168.56 is: 59,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.25 : 27,168.56 = 27,168.56 : x
  2. Step 2: Convert to fraction form
    12,482.25/27,168.56 = 27,168.56/x
  3. Step 3: Cross multiply
    12,482.25x = 27,168.56 × 27,168.56
  4. Step 4: Simplify right side
    12,482.25x = 738,130,788.32
  5. Step 5: Solve for x
    x = 738,130,788.32/12,482.25
  6. Step 6: Final answer
    x = 59,134.43

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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.