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Finding the Third Proportional to 17,116 and 25,604

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Solution

The third proportional to 17,116 and 25,604 is: 38,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116 : 25,604 = 25,604 : x
  2. Step 2: Convert to fraction form
    17,116/25,604 = 25,604/x
  3. Step 3: Cross multiply
    17,116x = 25,604 × 25,604
  4. Step 4: Simplify right side
    17,116x = 655,564,816
  5. Step 5: Solve for x
    x = 655,564,816/17,116
  6. Step 6: Final answer
    x = 38,301.29

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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.