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Finding the Third Proportional to 17,178 and 25,807

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Solution

The third proportional to 17,178 and 25,807 is: 38,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,178 : 25,807 = 25,807 : x
  2. Step 2: Convert to fraction form
    17,178/25,807 = 25,807/x
  3. Step 3: Cross multiply
    17,178x = 25,807 × 25,807
  4. Step 4: Simplify right side
    17,178x = 666,001,249
  5. Step 5: Solve for x
    x = 666,001,249/17,178
  6. Step 6: Final answer
    x = 38,770.59

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