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Finding the Third Proportional to 14,122.13 and 30,704.63

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Solution

The third proportional to 14,122.13 and 30,704.63 is: 66,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.13 : 30,704.63 = 30,704.63 : x
  2. Step 2: Convert to fraction form
    14,122.13/30,704.63 = 30,704.63/x
  3. Step 3: Cross multiply
    14,122.13x = 30,704.63 × 30,704.63
  4. Step 4: Simplify right side
    14,122.13x = 942,773,996.39
  5. Step 5: Solve for x
    x = 942,773,996.39/14,122.13
  6. Step 6: Final answer
    x = 66,758.65

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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.