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Finding the Third Proportional to 12,758.25 and 18,704.63

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Solution

The third proportional to 12,758.25 and 18,704.63 is: 27,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.25 : 18,704.63 = 18,704.63 : x
  2. Step 2: Convert to fraction form
    12,758.25/18,704.63 = 18,704.63/x
  3. Step 3: Cross multiply
    12,758.25x = 18,704.63 × 18,704.63
  4. Step 4: Simplify right side
    12,758.25x = 349,862,996.39
  5. Step 5: Solve for x
    x = 349,862,996.39/12,758.25
  6. Step 6: Final answer
    x = 27,422.49

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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.