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Finding the Third Proportional to 36,409.50 and 79,353

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Solution

The third proportional to 36,409.50 and 79,353 is: 172,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,409.50 : 79,353 = 79,353 : x
  2. Step 2: Convert to fraction form
    36,409.50/79,353 = 79,353/x
  3. Step 3: Cross multiply
    36,409.50x = 79,353 × 79,353
  4. Step 4: Simplify right side
    36,409.50x = 6,296,898,609
  5. Step 5: Solve for x
    x = 6,296,898,609/36,409.50
  6. Step 6: Final answer
    x = 172,946.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.