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Finding the Third Proportional to 23,694 and 36,852

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Solution

The third proportional to 23,694 and 36,852 is: 57,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694 : 36,852 = 36,852 : x
  2. Step 2: Convert to fraction form
    23,694/36,852 = 36,852/x
  3. Step 3: Cross multiply
    23,694x = 36,852 × 36,852
  4. Step 4: Simplify right side
    23,694x = 1,358,069,904
  5. Step 5: Solve for x
    x = 1,358,069,904/23,694
  6. Step 6: Final answer
    x = 57,317.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.