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Finding the Third Proportional to 17,320 and 37,409

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Solution

The third proportional to 17,320 and 37,409 is: 80,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320 : 37,409 = 37,409 : x
  2. Step 2: Convert to fraction form
    17,320/37,409 = 37,409/x
  3. Step 3: Cross multiply
    17,320x = 37,409 × 37,409
  4. Step 4: Simplify right side
    17,320x = 1,399,433,281
  5. Step 5: Solve for x
    x = 1,399,433,281/17,320
  6. Step 6: Final answer
    x = 80,798.69

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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.