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Finding the Third Proportional to 36,450.95 and 75,810.30

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Solution

The third proportional to 36,450.95 and 75,810.30 is: 157,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,450.95 : 75,810.30 = 75,810.30 : x
  2. Step 2: Convert to fraction form
    36,450.95/75,810.30 = 75,810.30/x
  3. Step 3: Cross multiply
    36,450.95x = 75,810.30 × 75,810.30
  4. Step 4: Simplify right side
    36,450.95x = 5,747,202,296.81
  5. Step 5: Solve for x
    x = 5,747,202,296.81/36,450.95
  6. Step 6: Final answer
    x = 157,669.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.