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Finding the Third Proportional to 17,597 and 37,955

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Solution

The third proportional to 17,597 and 37,955 is: 81,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597 : 37,955 = 37,955 : x
  2. Step 2: Convert to fraction form
    17,597/37,955 = 37,955/x
  3. Step 3: Cross multiply
    17,597x = 37,955 × 37,955
  4. Step 4: Simplify right side
    17,597x = 1,440,582,025
  5. Step 5: Solve for x
    x = 1,440,582,025/17,597
  6. Step 6: Final answer
    x = 81,865.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.