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Finding the Third Proportional to 36,767 and 51,774.50

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Solution

The third proportional to 36,767 and 51,774.50 is: 72,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,767 : 51,774.50 = 51,774.50 : x
  2. Step 2: Convert to fraction form
    36,767/51,774.50 = 51,774.50/x
  3. Step 3: Cross multiply
    36,767x = 51,774.50 × 51,774.50
  4. Step 4: Simplify right side
    36,767x = 2,680,598,850.25
  5. Step 5: Solve for x
    x = 2,680,598,850.25/36,767
  6. Step 6: Final answer
    x = 72,907.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.