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Finding the Third Proportional to 8,411.50 and 17,695

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Solution

The third proportional to 8,411.50 and 17,695 is: 37,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.50 : 17,695 = 17,695 : x
  2. Step 2: Convert to fraction form
    8,411.50/17,695 = 17,695/x
  3. Step 3: Cross multiply
    8,411.50x = 17,695 × 17,695
  4. Step 4: Simplify right side
    8,411.50x = 313,113,025
  5. Step 5: Solve for x
    x = 313,113,025/8,411.50
  6. Step 6: Final answer
    x = 37,224.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.