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Finding the Third Proportional to 36,492 and 77,692.50

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Solution

The third proportional to 36,492 and 77,692.50 is: 165,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,492 : 77,692.50 = 77,692.50 : x
  2. Step 2: Convert to fraction form
    36,492/77,692.50 = 77,692.50/x
  3. Step 3: Cross multiply
    36,492x = 77,692.50 × 77,692.50
  4. Step 4: Simplify right side
    36,492x = 6,036,124,556.25
  5. Step 5: Solve for x
    x = 6,036,124,556.25/36,492
  6. Step 6: Final answer
    x = 165,409.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.