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Finding the Third Proportional to 36,626 and 70,334

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Solution

The third proportional to 36,626 and 70,334 is: 135,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,626 : 70,334 = 70,334 : x
  2. Step 2: Convert to fraction form
    36,626/70,334 = 70,334/x
  3. Step 3: Cross multiply
    36,626x = 70,334 × 70,334
  4. Step 4: Simplify right side
    36,626x = 4,946,871,556
  5. Step 5: Solve for x
    x = 4,946,871,556/36,626
  6. Step 6: Final answer
    x = 135,064.48

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.