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Finding the Third Proportional to 30,042 and 63,966

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Solution

The third proportional to 30,042 and 63,966 is: 136,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042 : 63,966 = 63,966 : x
  2. Step 2: Convert to fraction form
    30,042/63,966 = 63,966/x
  3. Step 3: Cross multiply
    30,042x = 63,966 × 63,966
  4. Step 4: Simplify right side
    30,042x = 4,091,649,156
  5. Step 5: Solve for x
    x = 4,091,649,156/30,042
  6. Step 6: Final answer
    x = 136,197.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.