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Finding the Third Proportional to 23,632 and 38,685

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Solution

The third proportional to 23,632 and 38,685 is: 63,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632 : 38,685 = 38,685 : x
  2. Step 2: Convert to fraction form
    23,632/38,685 = 38,685/x
  3. Step 3: Cross multiply
    23,632x = 38,685 × 38,685
  4. Step 4: Simplify right side
    23,632x = 1,496,529,225
  5. Step 5: Solve for x
    x = 1,496,529,225/23,632
  6. Step 6: Final answer
    x = 63,326.39

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.