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Finding the Third Proportional to 23,476 and 36,893

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Solution

The third proportional to 23,476 and 36,893 is: 57,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476 : 36,893 = 36,893 : x
  2. Step 2: Convert to fraction form
    23,476/36,893 = 36,893/x
  3. Step 3: Cross multiply
    23,476x = 36,893 × 36,893
  4. Step 4: Simplify right side
    23,476x = 1,361,093,449
  5. Step 5: Solve for x
    x = 1,361,093,449/23,476
  6. Step 6: Final answer
    x = 57,978.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.