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Finding the Third Proportional to 34,749 and 70,727.25

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Solution

The third proportional to 34,749 and 70,727.25 is: 143,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749 : 70,727.25 = 70,727.25 : x
  2. Step 2: Convert to fraction form
    34,749/70,727.25 = 70,727.25/x
  3. Step 3: Cross multiply
    34,749x = 70,727.25 × 70,727.25
  4. Step 4: Simplify right side
    34,749x = 5,002,343,892.56
  5. Step 5: Solve for x
    x = 5,002,343,892.56/34,749
  6. Step 6: Final answer
    x = 143,956.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.