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Finding the Third Proportional to 36,352.50 and 77,100

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Solution

The third proportional to 36,352.50 and 77,100 is: 163,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,352.50 : 77,100 = 77,100 : x
  2. Step 2: Convert to fraction form
    36,352.50/77,100 = 77,100/x
  3. Step 3: Cross multiply
    36,352.50x = 77,100 × 77,100
  4. Step 4: Simplify right side
    36,352.50x = 5,944,410,000
  5. Step 5: Solve for x
    x = 5,944,410,000/36,352.50
  6. Step 6: Final answer
    x = 163,521.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.