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Finding the Third Proportional to 36,045 and 73,851.75

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Solution

The third proportional to 36,045 and 73,851.75 is: 151,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045 : 73,851.75 = 73,851.75 : x
  2. Step 2: Convert to fraction form
    36,045/73,851.75 = 73,851.75/x
  3. Step 3: Cross multiply
    36,045x = 73,851.75 × 73,851.75
  4. Step 4: Simplify right side
    36,045x = 5,454,080,978.06
  5. Step 5: Solve for x
    x = 5,454,080,978.06/36,045
  6. Step 6: Final answer
    x = 151,313.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.