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Finding the Third Proportional to 12,591.75 and 18,539.63

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Solution

The third proportional to 12,591.75 and 18,539.63 is: 27,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.75 : 18,539.63 = 18,539.63 : x
  2. Step 2: Convert to fraction form
    12,591.75/18,539.63 = 18,539.63/x
  3. Step 3: Cross multiply
    12,591.75x = 18,539.63 × 18,539.63
  4. Step 4: Simplify right side
    12,591.75x = 343,717,695.14
  5. Step 5: Solve for x
    x = 343,717,695.14/12,591.75
  6. Step 6: Final answer
    x = 27,297.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.