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Finding the Third Proportional to 17,435.50 and 41,154

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Solution

The third proportional to 17,435.50 and 41,154 is: 97,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,435.50 : 41,154 = 41,154 : x
  2. Step 2: Convert to fraction form
    17,435.50/41,154 = 41,154/x
  3. Step 3: Cross multiply
    17,435.50x = 41,154 × 41,154
  4. Step 4: Simplify right side
    17,435.50x = 1,693,651,716
  5. Step 5: Solve for x
    x = 1,693,651,716/17,435.50
  6. Step 6: Final answer
    x = 97,138.12

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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.