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Finding the Third Proportional to 35,844 and 70,802

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Solution

The third proportional to 35,844 and 70,802 is: 139,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,844 : 70,802 = 70,802 : x
  2. Step 2: Convert to fraction form
    35,844/70,802 = 70,802/x
  3. Step 3: Cross multiply
    35,844x = 70,802 × 70,802
  4. Step 4: Simplify right side
    35,844x = 5,012,923,204
  5. Step 5: Solve for x
    x = 5,012,923,204/35,844
  6. Step 6: Final answer
    x = 139,853.90

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.