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Finding the Third Proportional to 24,525 and 37,896

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Solution

The third proportional to 24,525 and 37,896 is: 58,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,525 : 37,896 = 37,896 : x
  2. Step 2: Convert to fraction form
    24,525/37,896 = 37,896/x
  3. Step 3: Cross multiply
    24,525x = 37,896 × 37,896
  4. Step 4: Simplify right side
    24,525x = 1,436,106,816
  5. Step 5: Solve for x
    x = 1,436,106,816/24,525
  6. Step 6: Final answer
    x = 58,556.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.