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Finding the Third Proportional to 10,560 and 14,085

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Solution

The third proportional to 10,560 and 14,085 is: 18,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560 : 14,085 = 14,085 : x
  2. Step 2: Convert to fraction form
    10,560/14,085 = 14,085/x
  3. Step 3: Cross multiply
    10,560x = 14,085 × 14,085
  4. Step 4: Simplify right side
    10,560x = 198,387,225
  5. Step 5: Solve for x
    x = 198,387,225/10,560
  6. Step 6: Final answer
    x = 18,786.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.