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Finding the Third Proportional to 19,541 and 29,567

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Solution

The third proportional to 19,541 and 29,567 is: 44,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541 : 29,567 = 29,567 : x
  2. Step 2: Convert to fraction form
    19,541/29,567 = 29,567/x
  3. Step 3: Cross multiply
    19,541x = 29,567 × 29,567
  4. Step 4: Simplify right side
    19,541x = 874,207,489
  5. Step 5: Solve for x
    x = 874,207,489/19,541
  6. Step 6: Final answer
    x = 44,737.09

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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.