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Finding the Third Proportional to 36,749.50 and 80,501.75

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Solution

The third proportional to 36,749.50 and 80,501.75 is: 176,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,749.50 : 80,501.75 = 80,501.75 : x
  2. Step 2: Convert to fraction form
    36,749.50/80,501.75 = 80,501.75/x
  3. Step 3: Cross multiply
    36,749.50x = 80,501.75 × 80,501.75
  4. Step 4: Simplify right side
    36,749.50x = 6,480,531,753.06
  5. Step 5: Solve for x
    x = 6,480,531,753.06/36,749.50
  6. Step 6: Final answer
    x = 176,343.40

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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.