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Finding the Third Proportional to 29,682 and 45,972

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Solution

The third proportional to 29,682 and 45,972 is: 71,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 45,972 = 45,972 : x
  2. Step 2: Convert to fraction form
    29,682/45,972 = 45,972/x
  3. Step 3: Cross multiply
    29,682x = 45,972 × 45,972
  4. Step 4: Simplify right side
    29,682x = 2,113,424,784
  5. Step 5: Solve for x
    x = 2,113,424,784/29,682
  6. Step 6: Final answer
    x = 71,202.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.