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Finding the Third Proportional to 24,293 and 35,567

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Solution

The third proportional to 24,293 and 35,567 is: 52,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,293 : 35,567 = 35,567 : x
  2. Step 2: Convert to fraction form
    24,293/35,567 = 35,567/x
  3. Step 3: Cross multiply
    24,293x = 35,567 × 35,567
  4. Step 4: Simplify right side
    24,293x = 1,265,011,489
  5. Step 5: Solve for x
    x = 1,265,011,489/24,293
  6. Step 6: Final answer
    x = 52,073.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.