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Finding the Third Proportional to 31,192 and 45,829

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Solution

The third proportional to 31,192 and 45,829 is: 67,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,192 : 45,829 = 45,829 : x
  2. Step 2: Convert to fraction form
    31,192/45,829 = 45,829/x
  3. Step 3: Cross multiply
    31,192x = 45,829 × 45,829
  4. Step 4: Simplify right side
    31,192x = 2,100,297,241
  5. Step 5: Solve for x
    x = 2,100,297,241/31,192
  6. Step 6: Final answer
    x = 67,334.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.