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Finding the Third Proportional to 17,300 and 37,360

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Solution

The third proportional to 17,300 and 37,360 is: 80,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300 : 37,360 = 37,360 : x
  2. Step 2: Convert to fraction form
    17,300/37,360 = 37,360/x
  3. Step 3: Cross multiply
    17,300x = 37,360 × 37,360
  4. Step 4: Simplify right side
    17,300x = 1,395,769,600
  5. Step 5: Solve for x
    x = 1,395,769,600/17,300
  6. Step 6: Final answer
    x = 80,680.32

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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.