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Finding the Third Proportional to 14,893.88 and 35,164.13

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Solution

The third proportional to 14,893.88 and 35,164.13 is: 83,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.88 : 35,164.13 = 35,164.13 : x
  2. Step 2: Convert to fraction form
    14,893.88/35,164.13 = 35,164.13/x
  3. Step 3: Cross multiply
    14,893.88x = 35,164.13 × 35,164.13
  4. Step 4: Simplify right side
    14,893.88x = 1,236,515,687.02
  5. Step 5: Solve for x
    x = 1,236,515,687.02/14,893.88
  6. Step 6: Final answer
    x = 83,021.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.