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Finding the Third Proportional to 36,168.50 and 78,283

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Solution

The third proportional to 36,168.50 and 78,283 is: 169,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,168.50 : 78,283 = 78,283 : x
  2. Step 2: Convert to fraction form
    36,168.50/78,283 = 78,283/x
  3. Step 3: Cross multiply
    36,168.50x = 78,283 × 78,283
  4. Step 4: Simplify right side
    36,168.50x = 6,128,228,089
  5. Step 5: Solve for x
    x = 6,128,228,089/36,168.50
  6. Step 6: Final answer
    x = 169,435.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.