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Finding the Third Proportional to 17,596 and 25,817

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Solution

The third proportional to 17,596 and 25,817 is: 37,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596 : 25,817 = 25,817 : x
  2. Step 2: Convert to fraction form
    17,596/25,817 = 25,817/x
  3. Step 3: Cross multiply
    17,596x = 25,817 × 25,817
  4. Step 4: Simplify right side
    17,596x = 666,517,489
  5. Step 5: Solve for x
    x = 666,517,489/17,596
  6. Step 6: Final answer
    x = 37,878.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.