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Finding the Third Proportional to 10,770 and 14,295

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Solution

The third proportional to 10,770 and 14,295 is: 18,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770 : 14,295 = 14,295 : x
  2. Step 2: Convert to fraction form
    10,770/14,295 = 14,295/x
  3. Step 3: Cross multiply
    10,770x = 14,295 × 14,295
  4. Step 4: Simplify right side
    10,770x = 204,347,025
  5. Step 5: Solve for x
    x = 204,347,025/10,770
  6. Step 6: Final answer
    x = 18,973.73

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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.