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Finding the Third Proportional to 26,017 and 37,180

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Solution

The third proportional to 26,017 and 37,180 is: 53,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,017 : 37,180 = 37,180 : x
  2. Step 2: Convert to fraction form
    26,017/37,180 = 37,180/x
  3. Step 3: Cross multiply
    26,017x = 37,180 × 37,180
  4. Step 4: Simplify right side
    26,017x = 1,382,352,400
  5. Step 5: Solve for x
    x = 1,382,352,400/26,017
  6. Step 6: Final answer
    x = 53,132.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.