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Finding the Third Proportional to 23,674 and 35,683

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Solution

The third proportional to 23,674 and 35,683 is: 53,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674 : 35,683 = 35,683 : x
  2. Step 2: Convert to fraction form
    23,674/35,683 = 35,683/x
  3. Step 3: Cross multiply
    23,674x = 35,683 × 35,683
  4. Step 4: Simplify right side
    23,674x = 1,273,276,489
  5. Step 5: Solve for x
    x = 1,273,276,489/23,674
  6. Step 6: Final answer
    x = 53,783.75

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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.