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Finding the Third Proportional to 14,690.25 and 34,671.38

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Solution

The third proportional to 14,690.25 and 34,671.38 is: 81,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.25 : 34,671.38 = 34,671.38 : x
  2. Step 2: Convert to fraction form
    14,690.25/34,671.38 = 34,671.38/x
  3. Step 3: Cross multiply
    14,690.25x = 34,671.38 × 34,671.38
  4. Step 4: Simplify right side
    14,690.25x = 1,202,104,244.39
  5. Step 5: Solve for x
    x = 1,202,104,244.39/14,690.25
  6. Step 6: Final answer
    x = 81,830.07

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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.