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Finding the Third Proportional to 12,792.75 and 17,913

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Solution

The third proportional to 12,792.75 and 17,913 is: 25,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.75 : 17,913 = 17,913 : x
  2. Step 2: Convert to fraction form
    12,792.75/17,913 = 17,913/x
  3. Step 3: Cross multiply
    12,792.75x = 17,913 × 17,913
  4. Step 4: Simplify right side
    12,792.75x = 320,875,569
  5. Step 5: Solve for x
    x = 320,875,569/12,792.75
  6. Step 6: Final answer
    x = 25,082.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.