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Finding the Third Proportional to 14,769 and 20,685

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Solution

The third proportional to 14,769 and 20,685 is: 28,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769 : 20,685 = 20,685 : x
  2. Step 2: Convert to fraction form
    14,769/20,685 = 20,685/x
  3. Step 3: Cross multiply
    14,769x = 20,685 × 20,685
  4. Step 4: Simplify right side
    14,769x = 427,869,225
  5. Step 5: Solve for x
    x = 427,869,225/14,769
  6. Step 6: Final answer
    x = 28,970.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.