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Finding the Third Proportional to 36,289.50 and 77,763

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Solution

The third proportional to 36,289.50 and 77,763 is: 166,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,289.50 : 77,763 = 77,763 : x
  2. Step 2: Convert to fraction form
    36,289.50/77,763 = 77,763/x
  3. Step 3: Cross multiply
    36,289.50x = 77,763 × 77,763
  4. Step 4: Simplify right side
    36,289.50x = 6,047,084,169
  5. Step 5: Solve for x
    x = 6,047,084,169/36,289.50
  6. Step 6: Final answer
    x = 166,634.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.