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Finding the Third Proportional to 11,457 and 17,185.50

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Solution

The third proportional to 11,457 and 17,185.50 is: 25,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457 : 17,185.50 = 17,185.50 : x
  2. Step 2: Convert to fraction form
    11,457/17,185.50 = 17,185.50/x
  3. Step 3: Cross multiply
    11,457x = 17,185.50 × 17,185.50
  4. Step 4: Simplify right side
    11,457x = 295,341,410.25
  5. Step 5: Solve for x
    x = 295,341,410.25/11,457
  6. Step 6: Final answer
    x = 25,778.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.