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Finding the Third Proportional to 17,116 and 25,603

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Solution

The third proportional to 17,116 and 25,603 is: 38,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116 : 25,603 = 25,603 : x
  2. Step 2: Convert to fraction form
    17,116/25,603 = 25,603/x
  3. Step 3: Cross multiply
    17,116x = 25,603 × 25,603
  4. Step 4: Simplify right side
    17,116x = 655,513,609
  5. Step 5: Solve for x
    x = 655,513,609/17,116
  6. Step 6: Final answer
    x = 38,298.29

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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.