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Finding the Third Proportional to 14,760 and 31,865

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Solution

The third proportional to 14,760 and 31,865 is: 68,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,760 : 31,865 = 31,865 : x
  2. Step 2: Convert to fraction form
    14,760/31,865 = 31,865/x
  3. Step 3: Cross multiply
    14,760x = 31,865 × 31,865
  4. Step 4: Simplify right side
    14,760x = 1,015,378,225
  5. Step 5: Solve for x
    x = 1,015,378,225/14,760
  6. Step 6: Final answer
    x = 68,792.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.