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Finding the Third Proportional to 17,254 and 25,969

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Solution

The third proportional to 17,254 and 25,969 is: 39,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254 : 25,969 = 25,969 : x
  2. Step 2: Convert to fraction form
    17,254/25,969 = 25,969/x
  3. Step 3: Cross multiply
    17,254x = 25,969 × 25,969
  4. Step 4: Simplify right side
    17,254x = 674,388,961
  5. Step 5: Solve for x
    x = 674,388,961/17,254
  6. Step 6: Final answer
    x = 39,085.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.