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Finding the Third Proportional to 24,896 and 38,550

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Solution

The third proportional to 24,896 and 38,550 is: 59,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896 : 38,550 = 38,550 : x
  2. Step 2: Convert to fraction form
    24,896/38,550 = 38,550/x
  3. Step 3: Cross multiply
    24,896x = 38,550 × 38,550
  4. Step 4: Simplify right side
    24,896x = 1,486,102,500
  5. Step 5: Solve for x
    x = 1,486,102,500/24,896
  6. Step 6: Final answer
    x = 59,692.42

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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.