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Finding the Third Proportional to 14,009.50 and 20,699

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Solution

The third proportional to 14,009.50 and 20,699 is: 30,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.50 : 20,699 = 20,699 : x
  2. Step 2: Convert to fraction form
    14,009.50/20,699 = 20,699/x
  3. Step 3: Cross multiply
    14,009.50x = 20,699 × 20,699
  4. Step 4: Simplify right side
    14,009.50x = 428,448,601
  5. Step 5: Solve for x
    x = 428,448,601/14,009.50
  6. Step 6: Final answer
    x = 30,582.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.