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Finding the Third Proportional to 17,100 and 25,582

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Solution

The third proportional to 17,100 and 25,582 is: 38,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100 : 25,582 = 25,582 : x
  2. Step 2: Convert to fraction form
    17,100/25,582 = 25,582/x
  3. Step 3: Cross multiply
    17,100x = 25,582 × 25,582
  4. Step 4: Simplify right side
    17,100x = 654,438,724
  5. Step 5: Solve for x
    x = 654,438,724/17,100
  6. Step 6: Final answer
    x = 38,271.27

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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.