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Finding the Third Proportional to 24,642 and 36,765

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Solution

The third proportional to 24,642 and 36,765 is: 54,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642 : 36,765 = 36,765 : x
  2. Step 2: Convert to fraction form
    24,642/36,765 = 36,765/x
  3. Step 3: Cross multiply
    24,642x = 36,765 × 36,765
  4. Step 4: Simplify right side
    24,642x = 1,351,665,225
  5. Step 5: Solve for x
    x = 1,351,665,225/24,642
  6. Step 6: Final answer
    x = 54,852.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.