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Finding the Third Proportional to 40,736 and 54,070

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Solution

The third proportional to 40,736 and 54,070 is: 71,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,736 : 54,070 = 54,070 : x
  2. Step 2: Convert to fraction form
    40,736/54,070 = 54,070/x
  3. Step 3: Cross multiply
    40,736x = 54,070 × 54,070
  4. Step 4: Simplify right side
    40,736x = 2,923,564,900
  5. Step 5: Solve for x
    x = 2,923,564,900/40,736
  6. Step 6: Final answer
    x = 71,768.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.