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Finding the Third Proportional to 17,468 and 25,958

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Solution

The third proportional to 17,468 and 25,958 is: 38,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468 : 25,958 = 25,958 : x
  2. Step 2: Convert to fraction form
    17,468/25,958 = 25,958/x
  3. Step 3: Cross multiply
    17,468x = 25,958 × 25,958
  4. Step 4: Simplify right side
    17,468x = 673,817,764
  5. Step 5: Solve for x
    x = 673,817,764/17,468
  6. Step 6: Final answer
    x = 38,574.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.