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Finding the Third Proportional to 14,825.25 and 34,996.50

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Solution

The third proportional to 14,825.25 and 34,996.50 is: 82,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.25 : 34,996.50 = 34,996.50 : x
  2. Step 2: Convert to fraction form
    14,825.25/34,996.50 = 34,996.50/x
  3. Step 3: Cross multiply
    14,825.25x = 34,996.50 × 34,996.50
  4. Step 4: Simplify right side
    14,825.25x = 1,224,755,012.25
  5. Step 5: Solve for x
    x = 1,224,755,012.25/14,825.25
  6. Step 6: Final answer
    x = 82,612.77

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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.