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Finding the Third Proportional to 14,735.67 and 20,829.66

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Solution

The third proportional to 14,735.67 and 20,829.66 is: 29,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.67 : 20,829.66 = 20,829.66 : x
  2. Step 2: Convert to fraction form
    14,735.67/20,829.66 = 20,829.66/x
  3. Step 3: Cross multiply
    14,735.67x = 20,829.66 × 20,829.66
  4. Step 4: Simplify right side
    14,735.67x = 433,874,579.49
  5. Step 5: Solve for x
    x = 433,874,579.49/14,735.67
  6. Step 6: Final answer
    x = 29,443.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.