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Finding the Third Proportional to 10,650 and 14,085

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Solution

The third proportional to 10,650 and 14,085 is: 18,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650 : 14,085 = 14,085 : x
  2. Step 2: Convert to fraction form
    10,650/14,085 = 14,085/x
  3. Step 3: Cross multiply
    10,650x = 14,085 × 14,085
  4. Step 4: Simplify right side
    10,650x = 198,387,225
  5. Step 5: Solve for x
    x = 198,387,225/10,650
  6. Step 6: Final answer
    x = 18,627.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.