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Finding the Third Proportional to 36,454.50 and 79,767

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Solution

The third proportional to 36,454.50 and 79,767 is: 174,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,454.50 : 79,767 = 79,767 : x
  2. Step 2: Convert to fraction form
    36,454.50/79,767 = 79,767/x
  3. Step 3: Cross multiply
    36,454.50x = 79,767 × 79,767
  4. Step 4: Simplify right side
    36,454.50x = 6,362,774,289
  5. Step 5: Solve for x
    x = 6,362,774,289/36,454.50
  6. Step 6: Final answer
    x = 174,540.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.