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Finding the Third Proportional to 16,749 and 36,724.50

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Solution

The third proportional to 16,749 and 36,724.50 is: 80,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,749 : 36,724.50 = 36,724.50 : x
  2. Step 2: Convert to fraction form
    16,749/36,724.50 = 36,724.50/x
  3. Step 3: Cross multiply
    16,749x = 36,724.50 × 36,724.50
  4. Step 4: Simplify right side
    16,749x = 1,348,688,900.25
  5. Step 5: Solve for x
    x = 1,348,688,900.25/16,749
  6. Step 6: Final answer
    x = 80,523.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.