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Finding the Third Proportional to 36,488.50 and 78,677

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Solution

The third proportional to 36,488.50 and 78,677 is: 169,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,488.50 : 78,677 = 78,677 : x
  2. Step 2: Convert to fraction form
    36,488.50/78,677 = 78,677/x
  3. Step 3: Cross multiply
    36,488.50x = 78,677 × 78,677
  4. Step 4: Simplify right side
    36,488.50x = 6,190,070,329
  5. Step 5: Solve for x
    x = 6,190,070,329/36,488.50
  6. Step 6: Final answer
    x = 169,644.42

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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.