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Finding the Third Proportional to 17,413 and 37,595

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Solution

The third proportional to 17,413 and 37,595 is: 81,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413 : 37,595 = 37,595 : x
  2. Step 2: Convert to fraction form
    17,413/37,595 = 37,595/x
  3. Step 3: Cross multiply
    17,413x = 37,595 × 37,595
  4. Step 4: Simplify right side
    17,413x = 1,413,384,025
  5. Step 5: Solve for x
    x = 1,413,384,025/17,413
  6. Step 6: Final answer
    x = 81,168.32

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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.