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Finding the Third Proportional to 15,600 and 23,965

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Solution

The third proportional to 15,600 and 23,965 is: 36,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,600 : 23,965 = 23,965 : x
  2. Step 2: Convert to fraction form
    15,600/23,965 = 23,965/x
  3. Step 3: Cross multiply
    15,600x = 23,965 × 23,965
  4. Step 4: Simplify right side
    15,600x = 574,321,225
  5. Step 5: Solve for x
    x = 574,321,225/15,600
  6. Step 6: Final answer
    x = 36,815.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.