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Finding the Third Proportional to 45,736.50 and 60,705

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Solution

The third proportional to 45,736.50 and 60,705 is: 80,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,736.50 : 60,705 = 60,705 : x
  2. Step 2: Convert to fraction form
    45,736.50/60,705 = 60,705/x
  3. Step 3: Cross multiply
    45,736.50x = 60,705 × 60,705
  4. Step 4: Simplify right side
    45,736.50x = 3,685,097,025
  5. Step 5: Solve for x
    x = 3,685,097,025/45,736.50
  6. Step 6: Final answer
    x = 80,572.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.