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Finding the Third Proportional to 14,992 and 23,315

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Solution

The third proportional to 14,992 and 23,315 is: 36,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992 : 23,315 = 23,315 : x
  2. Step 2: Convert to fraction form
    14,992/23,315 = 23,315/x
  3. Step 3: Cross multiply
    14,992x = 23,315 × 23,315
  4. Step 4: Simplify right side
    14,992x = 543,589,225
  5. Step 5: Solve for x
    x = 543,589,225/14,992
  6. Step 6: Final answer
    x = 36,258.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.