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Finding the Third Proportional to 10,770 and 14,305.50

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Solution

The third proportional to 10,770 and 14,305.50 is: 19,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770 : 14,305.50 = 14,305.50 : x
  2. Step 2: Convert to fraction form
    10,770/14,305.50 = 14,305.50/x
  3. Step 3: Cross multiply
    10,770x = 14,305.50 × 14,305.50
  4. Step 4: Simplify right side
    10,770x = 204,647,330.25
  5. Step 5: Solve for x
    x = 204,647,330.25/10,770
  6. Step 6: Final answer
    x = 19,001.61

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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.