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Finding the Third Proportional to 37,983 and 84,715

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Solution

The third proportional to 37,983 and 84,715 is: 188,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983 : 84,715 = 84,715 : x
  2. Step 2: Convert to fraction form
    37,983/84,715 = 84,715/x
  3. Step 3: Cross multiply
    37,983x = 84,715 × 84,715
  4. Step 4: Simplify right side
    37,983x = 7,176,631,225
  5. Step 5: Solve for x
    x = 7,176,631,225/37,983
  6. Step 6: Final answer
    x = 188,943.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.