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Finding the Third Proportional to 36,747 and 81,823.50

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Solution

The third proportional to 36,747 and 81,823.50 is: 182,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,747 : 81,823.50 = 81,823.50 : x
  2. Step 2: Convert to fraction form
    36,747/81,823.50 = 81,823.50/x
  3. Step 3: Cross multiply
    36,747x = 81,823.50 × 81,823.50
  4. Step 4: Simplify right side
    36,747x = 6,695,085,152.25
  5. Step 5: Solve for x
    x = 6,695,085,152.25/36,747
  6. Step 6: Final answer
    x = 182,194.06

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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.