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Finding the Third Proportional to 17,363 and 37,763

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Solution

The third proportional to 17,363 and 37,763 is: 82,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,363 : 37,763 = 37,763 : x
  2. Step 2: Convert to fraction form
    17,363/37,763 = 37,763/x
  3. Step 3: Cross multiply
    17,363x = 37,763 × 37,763
  4. Step 4: Simplify right side
    17,363x = 1,426,044,169
  5. Step 5: Solve for x
    x = 1,426,044,169/17,363
  6. Step 6: Final answer
    x = 82,131.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.