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Finding the Third Proportional to 29,852 and 40,567

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Solution

The third proportional to 29,852 and 40,567 is: 55,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852 : 40,567 = 40,567 : x
  2. Step 2: Convert to fraction form
    29,852/40,567 = 40,567/x
  3. Step 3: Cross multiply
    29,852x = 40,567 × 40,567
  4. Step 4: Simplify right side
    29,852x = 1,645,681,489
  5. Step 5: Solve for x
    x = 1,645,681,489/29,852
  6. Step 6: Final answer
    x = 55,128.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.