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Finding the Third Proportional to 29,772 and 45,042

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Solution

The third proportional to 29,772 and 45,042 is: 68,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772 : 45,042 = 45,042 : x
  2. Step 2: Convert to fraction form
    29,772/45,042 = 45,042/x
  3. Step 3: Cross multiply
    29,772x = 45,042 × 45,042
  4. Step 4: Simplify right side
    29,772x = 2,028,781,764
  5. Step 5: Solve for x
    x = 2,028,781,764/29,772
  6. Step 6: Final answer
    x = 68,143.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.