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Finding the Third Proportional to 36,053.50 and 77,654

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Solution

The third proportional to 36,053.50 and 77,654 is: 167,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,053.50 : 77,654 = 77,654 : x
  2. Step 2: Convert to fraction form
    36,053.50/77,654 = 77,654/x
  3. Step 3: Cross multiply
    36,053.50x = 77,654 × 77,654
  4. Step 4: Simplify right side
    36,053.50x = 6,030,143,716
  5. Step 5: Solve for x
    x = 6,030,143,716/36,053.50
  6. Step 6: Final answer
    x = 167,255.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.