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Finding the Third Proportional to 35,250.75 and 73,407

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Solution

The third proportional to 35,250.75 and 73,407 is: 152,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,250.75 : 73,407 = 73,407 : x
  2. Step 2: Convert to fraction form
    35,250.75/73,407 = 73,407/x
  3. Step 3: Cross multiply
    35,250.75x = 73,407 × 73,407
  4. Step 4: Simplify right side
    35,250.75x = 5,388,587,649
  5. Step 5: Solve for x
    x = 5,388,587,649/35,250.75
  6. Step 6: Final answer
    x = 152,864.48

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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.