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Finding the Third Proportional to 10,512 and 14,865

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Solution

The third proportional to 10,512 and 14,865 is: 21,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 14,865 = 14,865 : x
  2. Step 2: Convert to fraction form
    10,512/14,865 = 14,865/x
  3. Step 3: Cross multiply
    10,512x = 14,865 × 14,865
  4. Step 4: Simplify right side
    10,512x = 220,968,225
  5. Step 5: Solve for x
    x = 220,968,225/10,512
  6. Step 6: Final answer
    x = 21,020.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.