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Finding the Third Proportional to 19,976.50 and 44,387

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Solution

The third proportional to 19,976.50 and 44,387 is: 98,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.50 : 44,387 = 44,387 : x
  2. Step 2: Convert to fraction form
    19,976.50/44,387 = 44,387/x
  3. Step 3: Cross multiply
    19,976.50x = 44,387 × 44,387
  4. Step 4: Simplify right side
    19,976.50x = 1,970,205,769
  5. Step 5: Solve for x
    x = 1,970,205,769/19,976.50
  6. Step 6: Final answer
    x = 98,626.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.