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Finding the Third Proportional to 23,952 and 36,765

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Solution

The third proportional to 23,952 and 36,765 is: 56,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952 : 36,765 = 36,765 : x
  2. Step 2: Convert to fraction form
    23,952/36,765 = 36,765/x
  3. Step 3: Cross multiply
    23,952x = 36,765 × 36,765
  4. Step 4: Simplify right side
    23,952x = 1,351,665,225
  5. Step 5: Solve for x
    x = 1,351,665,225/23,952
  6. Step 6: Final answer
    x = 56,432.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.