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Finding the Third Proportional to 14,353 and 30,791

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Solution

The third proportional to 14,353 and 30,791 is: 66,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353 : 30,791 = 30,791 : x
  2. Step 2: Convert to fraction form
    14,353/30,791 = 30,791/x
  3. Step 3: Cross multiply
    14,353x = 30,791 × 30,791
  4. Step 4: Simplify right side
    14,353x = 948,085,681
  5. Step 5: Solve for x
    x = 948,085,681/14,353
  6. Step 6: Final answer
    x = 66,054.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.