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Finding the Third Proportional to 26,486 and 37,048

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Solution

The third proportional to 26,486 and 37,048 is: 51,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486 : 37,048 = 37,048 : x
  2. Step 2: Convert to fraction form
    26,486/37,048 = 37,048/x
  3. Step 3: Cross multiply
    26,486x = 37,048 × 37,048
  4. Step 4: Simplify right side
    26,486x = 1,372,554,304
  5. Step 5: Solve for x
    x = 1,372,554,304/26,486
  6. Step 6: Final answer
    x = 51,821.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.